diff --git a/src/frontend/src/instance.rs b/src/frontend/src/instance.rs
index 22d2afaa7bc..73d5c370ece 100644
--- a/src/frontend/src/instance.rs
+++ b/src/frontend/src/instance.rs
@@ -2760,12 +2760,12 @@ mod tests {
         )
     }
 
-    struct ReleasedExportSource {
+    struct CancellableExportSource {
         schema: GtSchemaRef,
         channels: std::sync::Mutex<Option<(oneshot::Sender<()>, oneshot::Receiver<()>)>>,
     }
 
-    impl DataSource for ReleasedExportSource {
+    impl DataSource for CancellableExportSource {
         fn get_stream(
             &self,
             _request: ScanRequest,
@@ -2785,15 +2785,15 @@ mod tests {
     }
 
     #[tokio::test]
-    async fn test_metric_export_http_timeout_drains_ordinary_writer() {
+    async fn test_metric_export_http_timeout_cancels_ordinary_source() {
         let destination = common_test_util::temp_dir::create_temp_dir("metric_export_timeout");
         let (started_tx, started_rx) = oneshot::channel();
-        let (release_tx, release_rx) = oneshot::channel();
+        let (mut release_tx, release_rx) = oneshot::channel();
         let info = test_table_info(1024, "source").unwrap();
         let source = Arc::new(Table::new(
             Arc::new(info.clone()),
             FilterPushDownType::Unsupported,
-            Arc::new(ReleasedExportSource {
+            Arc::new(CancellableExportSource {
                 schema: info.meta.schema.clone(),
                 channels: std::sync::Mutex::new(Some((started_tx, release_rx))),
             }),
@@ -2831,9 +2831,9 @@ mod tests {
         let server_task = tokio::spawn(async move {
             axum::serve(listener, app).await.unwrap();
         });
+        let uri = reqwest::Url::from_directory_path(destination.path()).unwrap();
         let sql = format!(
-            "COPY DATABASE greptime.public TO '{}/' WITH (experimental_metric_export='true')",
-            destination.path().display()
+            "COPY DATABASE greptime.public TO '{uri}' WITH (experimental_metric_export='true')"
         );
         let request = tokio::spawn(async move {
             reqwest::Client::builder()
@@ -2852,21 +2852,10 @@ mod tests {
             .unwrap();
         let response = request.await.unwrap();
         assert_eq!(response.status(), reqwest::StatusCode::REQUEST_TIMEOUT);
-        // A dropped ordinary stream would close this receiver before release.
-        release_tx.send(()).unwrap();
-        let file = destination.path().join("source.parquet");
-        tokio::time::timeout(Duration::from_secs(5), async {
-            loop {
-                if std::fs::read(&file)
-                    .is_ok_and(|bytes| bytes.len() > 8 && bytes.ends_with(b"PAR1"))
-                {
-                    break;
-                }
-                tokio::time::sleep(Duration::from_millis(10)).await;
-            }
-        })
-        .await
-        .unwrap();
+        tokio::time::timeout(Duration::from_secs(5), release_tx.closed())
+            .await
+            .unwrap();
+        assert!(!destination.path().join("source.parquet").exists());
         server_task.abort();
     }
 
diff --git a/src/operator/src/statement/export_database.rs b/src/operator/src/statement/export_database.rs
index ec0d8f08b48..dbe18ba763a 100644
--- a/src/operator/src/statement/export_database.rs
+++ b/src/operator/src/statement/export_database.rs
@@ -348,7 +348,7 @@ mod tests {
                                 }
                                 .fail();
                             }
-                            // Ordinary COPY continues its I/O even when Metric jobs cancel.
+                            // Already-started ordinary I/O drains after cancellation.
                             token.cancelled().await;
                             started.send(10).unwrap();
                             finish_io.acquire().await.unwrap().forget();