diff --git a/crates/integration-tests/src/main.rs b/crates/integration-tests/src/main.rs
index 55a5e540..cf4d0f97 100644
--- a/crates/integration-tests/src/main.rs
+++ b/crates/integration-tests/src/main.rs
@@ -1131,7 +1131,8 @@ DeliverySummary {
             })
             .collect();
 
-        assert_eq!(intervals.remove(0), 0);
+        let first = intervals.remove(0);
+        assert!(first >= 0 && first <= 1, "first is {first} but should be ~0");
         let mut expect = 5;
         for actual in intervals {
             assert!(