diff --git a/moli-renderer-v8/src/document_script_scheduler/module_ready.rs b/moli-renderer-v8/src/document_script_scheduler/module_ready.rs
index 76526fc5e..fd1850618 100644
--- a/moli-renderer-v8/src/document_script_scheduler/module_ready.rs
+++ b/moli-renderer-v8/src/document_script_scheduler/module_ready.rs
@@ -550,6 +550,7 @@ pub(super) struct ParserModuleScriptRunner<
 struct DocumentParserModulePendingScript<T> {
     node_id: NodeId,
     state: ParserPendingModuleScriptState<T>,
+    is_async: bool,
     retained_by_parser_order: bool,
     blocking_stylesheet_signatures:
         HashSet<crate::stylesheet_blocking::DocumentBlockingStylesheetSignature>,
@@ -560,6 +561,7 @@ impl<T> DocumentParserModulePendingScript<T> {
         Self {
             node_id: script.node_id,
             state: ParserPendingModuleScriptState::new(),
+            is_async: script.mode == crate::types::ScriptMode::Async,
             retained_by_parser_order: false,
             blocking_stylesheet_signatures: HashSet::new(),
         }
@@ -641,7 +643,7 @@ impl<Target, ParserModuleGraphFailure> ParserModuleScriptRunner<Target, ParserMo
             return ParserModulePendingScriptWatchResult::WaitingForTree;
         }
 
-        let ready = self.take_ready_terminals_in_document_order();
+        let ready = self.take_ready_terminals(key);
         if ready.is_empty() {
             ParserModulePendingScriptWatchResult::WaitingForTree
         } else {
@@ -659,7 +661,7 @@ impl<Target, ParserModuleGraphFailure> ParserModuleScriptRunner<Target, ParserMo
         if self.is_retained_by_parser_order(key) {
             return Some(Vec::new());
         }
-        Some(self.take_ready_terminals_in_document_order())
+        Some(self.take_ready_terminals(key))
     }
 
     pub(super) fn notify_module_tree_load_failed(
@@ -672,7 +674,7 @@ impl<Target, ParserModuleGraphFailure> ParserModuleScriptRunner<Target, ParserMo
         if self.is_retained_by_parser_order(key) {
             return Some(Vec::new());
         }
-        Some(self.take_ready_terminals_in_document_order())
+        Some(self.take_ready_terminals(key))
     }
 
     pub(super) fn blocking_stylesheet_signatures(
@@ -726,9 +728,21 @@ impl<Target, ParserModuleGraphFailure> ParserModuleScriptRunner<Target, ParserMo
         Some(())
     }
 
-    fn take_ready_terminals_in_document_order(
+    fn take_ready_terminals(
         &mut self,
+        key: ParserPendingScriptKey,
     ) -> Vec<ParserModuleGraphTerminalWork<Target, ParserModuleGraphFailure>> {
+        // Async modules belong to the execute-as-soon-as-possible set, so only
+        // their own readiness controls delivery, regardless of document order.
+        if let Some(pending) = self.pending.get_mut(&key)
+            && pending.is_async
+        {
+            let Some(terminal) = pending.state.take_ready_terminal() else {
+                return Vec::new();
+            };
+            self.remove_pending(key);
+            return vec![terminal];
+        }
         let mut ready = Vec::new();
         while let Some(key) = self.next_pending_key_in_document_order() {
             let Some(pending) = self.pending.get(&key) else {
@@ -747,9 +761,9 @@ impl<Target, ParserModuleGraphFailure> ParserModuleScriptRunner<Target, ParserMo
     }
 
     fn next_pending_key_in_document_order(&self) -> Option<ParserPendingScriptKey> {
-        self.pending
-            .iter()
-            .find_map(|(key, pending)| (!pending.retained_by_parser_order).then_some(*key))
+        self.pending.iter().find_map(|(key, pending)| {
+            (!pending.retained_by_parser_order && !pending.is_async).then_some(*key)
+        })
     }
 
     fn remove_pending(
diff --git a/moli-renderer-v8/src/document_script_scheduler/store.rs b/moli-renderer-v8/src/document_script_scheduler/store.rs
index 6bb8ee972..d4cc00e81 100644
--- a/moli-renderer-v8/src/document_script_scheduler/store.rs
+++ b/moli-renderer-v8/src/document_script_scheduler/store.rs
@@ -1187,6 +1187,196 @@ mod tests {
         assert_eq!(parser_ready.script().node_id, first.node_id);
     }
 
+    #[test]
+    fn async_module_readiness_bypasses_earlier_pending_modules() {
+        for earlier_mode in [ScriptMode::Async, ScriptMode::ModuleInOrder] {
+            for watch_before_ready in [false, true] {
+                let mut store: DocumentScriptSchedulerStore<u64, MainLikeModuleReadyTarget> =
+                    DocumentScriptSchedulerStore::default();
+                let target = MainLikeModuleReadyTarget {
+                    owner: 42,
+                    route: 1,
+                };
+                let mut slow =
+                    parser_module_script("https://document-scripts.test/slow.js", 10, 10);
+                slow.mode = earlier_mode;
+                let mut fast =
+                    parser_module_script("https://document-scripts.test/fast.js", 20, 20);
+                fast.mode = ScriptMode::Async;
+                assert!(
+                    store
+                        .register_and_watch_module_script(target.owner, &slow)
+                        .watched()
+                );
+                let fast_id = store.register_module_script(target.owner, &fast);
+                if watch_before_ready {
+                    assert!(store.watch_module_script(fast_id).watched());
+                }
+
+                assert_eq!(
+                    store.notify_module_script_graph_ready_work(main_like_graph_ready_work(
+                        target.clone(),
+                        fast.clone(),
+                        vec![ModuleEntryId::from_raw(20)],
+                    )),
+                    watch_before_ready,
+                );
+                if !watch_before_ready {
+                    assert!(!store.has_ready_work());
+                    assert!(store.watch_module_script(fast_id).watched());
+                }
+
+                let ready = store
+                    .take_next_ready_work()
+                    .expect("ready async module must not wait for an earlier module")
+                    .into_module_script_graph_ready();
+                assert_eq!(ready.script().node_id, fast.node_id);
+                assert_eq!(
+                    store.pending_parser_module_script_count_for_test(target.owner),
+                    1
+                );
+                assert!(!store.has_ready_work());
+
+                assert!(
+                    store.notify_module_script_graph_ready_work(main_like_graph_ready_work(
+                        target.clone(),
+                        slow.clone(),
+                        vec![ModuleEntryId::from_raw(10)],
+                    ))
+                );
+                let ready = store
+                    .take_next_ready_work()
+                    .expect("slow module completes later")
+                    .into_module_script_graph_ready();
+                assert_eq!(ready.script().node_id, slow.node_id);
+                assert_eq!(
+                    store.pending_parser_module_script_count_for_test(target.owner),
+                    0
+                );
+                assert!(!store.has_ready_work());
+            }
+        }
+    }
+
+    #[test]
+    fn async_module_failure_bypasses_earlier_pending_modules() {
+        for watch_before_failure in [false, true] {
+            let mut store: DocumentScriptSchedulerStore<
+                u64,
+                std::convert::Infallible,
+                std::convert::Infallible,
+                TestModuleGraphFailure,
+            > = DocumentScriptSchedulerStore::default();
+            let owner = 42;
+            let mut slow = parser_module_script("https://document-scripts.test/slow.js", 10, 10);
+            slow.mode = ScriptMode::Async;
+            let mut failed =
+                parser_module_script("https://document-scripts.test/failed.js", 20, 20);
+            failed.mode = ScriptMode::Async;
+            assert!(
+                store
+                    .register_and_watch_module_script(owner, &slow)
+                    .watched()
+            );
+            let failed_id = store.register_module_script(owner, &failed);
+            if watch_before_failure {
+                assert!(store.watch_module_script(failed_id).watched());
+            }
+            assert_eq!(
+                store.notify_module_script_graph_failed_action(TestModuleGraphFailure::new(
+                    owner,
+                    &failed,
+                    "fetch failed",
+                )),
+                watch_before_failure,
+            );
+            if !watch_before_failure {
+                assert!(!store.has_ready_work());
+                assert!(store.watch_module_script(failed_id).watched());
+            }
+
+            let failure = store
+                .take_next_ready_work()
+                .expect("async failure must not wait for an earlier module")
+                .into_module_script_graph_failed();
+            assert_eq!(failure.script_node_id(), failed.node_id);
+            assert_eq!(failure.message, "fetch failed");
+            assert_eq!(store.pending_parser_module_script_count_for_test(owner), 1);
+            assert!(!store.has_ready_work());
+        }
+    }
+
+    #[test]
+    fn ordered_modules_preserve_order_without_waiting_for_async_modules() {
+        let mut store: DocumentScriptSchedulerStore<u64, MainLikeModuleReadyTarget> =
+            DocumentScriptSchedulerStore::default();
+        let target = MainLikeModuleReadyTarget {
+            owner: 42,
+            route: 1,
+        };
+        let mut first = parser_module_script("https://document-scripts.test/first.js", 10, 10);
+        first.mode = ScriptMode::ModuleInOrder;
+        let mut middle = parser_module_script("https://document-scripts.test/async.js", 20, 20);
+        middle.mode = ScriptMode::Async;
+        let mut last = parser_module_script("https://document-scripts.test/last.js", 30, 30);
+        last.mode = ScriptMode::ModuleInOrder;
+        for script in [&first, &middle, &last] {
+            assert!(
+                store
+                    .register_and_watch_module_script(target.owner, script)
+                    .watched()
+            );
+        }
+
+        assert!(
+            !store.notify_module_script_graph_ready_work(main_like_graph_ready_work(
+                target.clone(),
+                last.clone(),
+                vec![ModuleEntryId::from_raw(30)],
+            ))
+        );
+        assert!(
+            !store.has_ready_work(),
+            "ordered modules must wait for earlier ordered modules"
+        );
+        assert!(
+            store.notify_module_script_graph_ready_work(main_like_graph_ready_work(
+                target.clone(),
+                first.clone(),
+                vec![ModuleEntryId::from_raw(10)],
+            ))
+        );
+        for expected in [&first, &last] {
+            let ready = store
+                .take_next_ready_work()
+                .expect("pending async module must not block ready ordered modules")
+                .into_module_script_graph_ready();
+            assert_eq!(ready.script().node_id, expected.node_id);
+        }
+        assert_eq!(
+            store.pending_parser_module_script_count_for_test(target.owner),
+            1
+        );
+        assert!(!store.has_ready_work());
+        assert!(
+            store.notify_module_script_graph_ready_work(main_like_graph_ready_work(
+                target.clone(),
+                middle.clone(),
+                vec![ModuleEntryId::from_raw(20)],
+            ))
+        );
+        let ready = store
+            .take_next_ready_work()
+            .expect("async module completes independently")
+            .into_module_script_graph_ready();
+        assert_eq!(ready.script().node_id, middle.node_id);
+        assert_eq!(
+            store.pending_parser_module_script_count_for_test(target.owner),
+            0
+        );
+        assert!(!store.has_ready_work());
+    }
+
     #[test]
     fn document_script_scheduler_store_routes_graph_failure_by_payload_owner() {
         let mut store: DocumentScriptSchedulerStore<