diff --git a/futures-util/src/stream/stream/zip.rs b/futures-util/src/stream/stream/zip.rs
index 25a47e96be..2dfed98435 100644
--- a/futures-util/src/stream/stream/zip.rs
+++ b/futures-util/src/stream/stream/zip.rs
@@ -64,7 +64,7 @@ where
     St2: Stream,
 {
     fn is_terminated(&self) -> bool {
-        self.stream1.is_terminated() && self.stream2.is_terminated()
+        self.stream1.is_terminated() || self.stream2.is_terminated()
     }
 }