diff --git a/zappa/handler.py b/zappa/handler.py
index 41336dc15..45fcb4221 100644
--- a/zappa/handler.py
+++ b/zappa/handler.py
@@ -592,6 +592,11 @@ def handler(self, event, context):
                                 response.data
                             ).decode("utf-8")
                             zappa_returndict["isBase64Encoded"] = True
+                        elif settings.BINARY_SUPPORT and response.headers.get("Content-Encoding", None):
+                            zappa_returndict["body"] = base64.b64encode(
+                                response.data
+                            ).decode("utf-8")
+                            zappa_returndict["isBase64Encoded"] = True
                         else:
                             zappa_returndict["body"] = response.get_data(as_text=True)