diff --git a/deny.toml b/deny.toml
index cebf09a1..721cadef 100644
--- a/deny.toml
+++ b/deny.toml
@@ -41,9 +41,6 @@ skip-tree = [
     # wait for primitive-types to upgrade
     { name = "proc-macro-crate", version = "=0.1.5" },
 
-    # wait for rocksdb to upgrade
-    { name = "bindgen", version = "=0.64.0" },
-
     # wait for prost-build to upgrade
     { name = "prettyplease", version = "=0.1.25" },
 
diff --git a/zebra-network/src/peer/connection.rs b/zebra-network/src/peer/connection.rs
index 8c585ee2..20429cc7 100644
--- a/zebra-network/src/peer/connection.rs
+++ b/zebra-network/src/peer/connection.rs
@@ -1253,6 +1253,10 @@ where
         );
         self.update_state_metrics(format!("In::Req::{}", req.command()));
 
+        // Give the inbound service time to clear its queue,
+        // before sending the next inbound request.
+        tokio::task::yield_now().await;
+
         if self.svc.ready().await.is_err() {
             // Treat all service readiness errors as Overloaded
             // TODO: treat `TryRecvError::Closed` in `Inbound::poll_ready` as a fatal error (#1655)
@@ -1403,6 +1407,10 @@ where
         }
 
         debug!(state = %self.state, %req, %rsp, "sent Zebra response to peer");
+
+        // Give the inbound service time to clear its queue,
+        // before checking the connection for the next inbound or outbound request.
+        tokio::task::yield_now().await;
     }
 }