diff --git a/docker/api/exec_api.py b/docker/api/exec_api.py
index d8fc50dd..6f047576 100644
--- a/docker/api/exec_api.py
+++ b/docker/api/exec_api.py
@@ -173,4 +173,5 @@ class ExecApiMixin:
         if stream:
             return CancellableStream(output, res)
         else:
+            res.close()
             return output
diff --git a/docker/types/daemon.py b/docker/types/daemon.py
index 04e6ccb2..e06e9f35 100644
--- a/docker/types/daemon.py
+++ b/docker/types/daemon.py
@@ -69,3 +69,5 @@ class CancellableStream:
 
             sock.shutdown(socket.SHUT_RDWR)
             sock.close()
+
+        self._response.close()