diff --git a/src/proto/streams/prioritize.rs b/src/proto/streams/prioritize.rs
index 14b37e223..68ce9c571 100644
--- a/src/proto/streams/prioritize.rs
+++ b/src/proto/streams/prioritize.rs
@@ -528,6 +528,11 @@ impl Prioritize {
         tracing::trace!("poll_complete");
 
         loop {
+            // Create a new span at the start of the loop to avoid continuously
+            // adding events to the same span due to tracing in the loop, which
+            // would lead to an ongoing increase in memory usage.
+            let _span = tracing::debug_span!("poll_complete_loop").entered();
+
             if let Some(mut stream) = self.pop_pending_open(store, counts) {
                 self.pending_send.push_front(&mut stream);
                 self.try_assign_capacity(&mut stream);