diff --git a/Cargo.toml b/Cargo.toml
index c97f581508..d5453f3d01 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -29,7 +29,7 @@ tokio = { version = "1", features = ["sync"] }
 
 futures-channel = { version = "0.3", optional = true }
 futures-util = { version = "0.3", default-features = false, optional = true }
-h2 = { version = "0.4.2", optional = true }
+h2 = { version = "0.4.9", optional = true }
 http-body-util = { version = "0.1", optional = true }
 httparse = { version = "1.9", optional = true }
 httpdate = { version = "1.0", optional = true }
diff --git a/src/proto/h2/server.rs b/src/proto/h2/server.rs
index a8a20dd68e..bc997670b4 100644
--- a/src/proto/h2/server.rs
+++ b/src/proto/h2/server.rs
@@ -189,6 +189,19 @@ where
             }
         }
     }
+
+    /// Checks if handshaking has completed
+    pub(crate) fn has_handshake_completed(&self) -> bool {
+        matches!(self.state, State::Serving { .. })
+    }
+
+    /// Checks if there are any streams
+    pub(crate) fn has_streams(&self) -> bool {
+        match self.state {
+            State::Handshaking { .. } => false,
+            State::Serving(ref srv) => srv.conn.has_streams(),
+        }
+    }
 }
 
 impl<T, S, B, E> Future for Server<T, S, B, E>
diff --git a/src/server/conn/http2.rs b/src/server/conn/http2.rs
index e0d61c13a6..6161aed652 100644
--- a/src/server/conn/http2.rs
+++ b/src/server/conn/http2.rs
@@ -78,6 +78,16 @@ where
     pub fn graceful_shutdown(mut self: Pin<&mut Self>) {
         self.conn.graceful_shutdown();
     }
+
+    /// Checks if handshaking has completed
+    pub fn has_handshake_completed(&self) -> bool {
+        self.conn.has_handshake_completed()
+    }
+
+    /// Checks if there are any streams
+    pub fn has_streams(&self) -> bool {
+        self.conn.has_streams()
+    }
 }
 
 impl<I, B, S, E> Future for Connection<I, S, E>