diff --git a/asyncpg/pool.py b/asyncpg/pool.py
index cd53e308..ed9ccff8 100644
--- a/asyncpg/pool.py
+++ b/asyncpg/pool.py
@@ -614,20 +614,19 @@ def _release_leaked_connection(fut):
         self._check_init()
 
         acquire_fut = asyncio.ensure_future(_acquire_impl())
-        if timeout is None:
-            return await acquire_fut
-        else:
-            try:
-                return await asyncio.wait_for(
-                    acquire_fut, timeout=timeout)
-            except asyncio.CancelledError:
-                # Ensure connection is marked as not in use.
-                # The cancellation may have raced the acquire, leading
-                # to the acquire completing but the wait_for to be
-                # cancelled.
-                # See: https://bugs.python.org/issue37658
-                acquire_fut.add_done_callback(_release_leaked_connection)
-                raise
+        try:
+            # Calling wait_for with timeout=None will shortcut to run without
+            # timeout
+            return await asyncio.wait_for(
+                acquire_fut, timeout=timeout)
+        except asyncio.CancelledError:
+            # Ensure connection is marked as not in use.
+            # The cancellation may have raced the acquire, leading
+            # to the acquire completing but the wait_for to be
+            # cancelled.
+            # See: https://bugs.python.org/issue37658
+            acquire_fut.add_done_callback(_release_leaked_connection)
+            raise
 
     async def release(self, connection, *, timeout=None):
         """Release a database connection back to the pool.