diff --git a/.bleep b/.bleep
index c142fa0d..045b30f9 100644
--- a/.bleep
+++ b/.bleep
@@ -1 +1 @@
-4b2957a626c93fec5e24438cbbc0b506bbca25a6
\ No newline at end of file
+ba954539761beee5e5d09b66c3a2957212aa499f
diff --git a/Cargo.toml b/Cargo.toml
index f50a2f53..1ec85f8c 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -29,7 +29,7 @@ httparse = "1"
 bytes = "1.0"
 http = "1.0.0"
 log = "0.4"
-h2 = ">=0.4.4"
+h2 = ">=0.4.6"
 once_cell = "1"
 lru = "0"
 ahash = ">=0.8.9"
diff --git a/pingora-core/src/connectors/http/v2.rs b/pingora-core/src/connectors/http/v2.rs
index a1f295af..ad41f6b5 100644
--- a/pingora-core/src/connectors/http/v2.rs
+++ b/pingora-core/src/connectors/http/v2.rs
@@ -85,9 +85,12 @@ impl ConnectionRef {
             release_lock: Arc::new(Mutex::new(())),
         }))
     }
+
     pub fn more_streams_allowed(&self) -> bool {
+        let current = self.0.current_streams.load(Ordering::Relaxed);
         !self.is_shutting_down()
-            && self.0.max_streams > self.0.current_streams.load(Ordering::Relaxed)
+            && self.0.max_streams > current
+            && self.0.connection_stub.0.current_max_send_streams() > current
     }
 
     pub fn is_idle(&self) -> bool {