diff --git a/redis/asyncio/connection.py b/redis/asyncio/connection.py
index 65fa58643b..d949054c00 100644
--- a/redis/asyncio/connection.py
+++ b/redis/asyncio/connection.py
@@ -1027,15 +1027,8 @@ def can_get_connection(self) -> bool:
         )
 
     async def get_connection(self, command_name, *keys, **options):
-        """Get a connection from the pool"""
-        try:
-            connection = self._available_connections.pop()
-        except IndexError:
-            if len(self._in_use_connections) >= self.max_connections:
-                raise ConnectionError("Too many connections") from None
-            connection = self.make_connection()
-        self._in_use_connections.add(connection)
-
+        """Get a connected connection from the pool"""
+        connection = self.get_available_connection()
         try:
             await self.ensure_connection(connection)
         except BaseException:
@@ -1044,6 +1037,16 @@ async def get_connection(self, command_name, *keys, **options):
 
         return connection
 
+    def get_available_connection(self):
+        """Get a connection from the pool, without making sure it is connected"""
+        try:
+            connection = self._available_connections.pop()
+        except IndexError:
+            if len(self._in_use_connections) >= self.max_connections:
+                raise ConnectionError("Too many connections") from None
+            connection = self.make_connection()
+        self._in_use_connections.add(connection)
+
     def get_encoder(self):
         """Return an encoder based on encoding settings"""
         kwargs = self.connection_kwargs
@@ -1169,10 +1172,19 @@ async def get_connection(self, command_name, *keys, **options):
             async with async_timeout(self.timeout):
                 async with self._condition:
                     await self._condition.wait_for(self.can_get_connection)
-                    return await super().get_connection(command_name, *keys, **options)
+                    connection = super().get_available_connection()
+
         except asyncio.TimeoutError as err:
             raise ConnectionError("No connection available.") from err
 
+        # We now perform the connection check outside of the lock.
+        try:
+            await self.ensure_connection(connection)
+            return connection
+        except BaseException:
+            await self.release(connection)
+            raise
+
     async def release(self, connection: AbstractConnection):
         """Releases the connection back to the pool."""
         async with self._condition: