diff --git a/setup.py b/setup.py
index 872b66c4c..e74f251cc 100644
--- a/setup.py
+++ b/setup.py
@@ -30,7 +30,7 @@
 release_status = "Development Status :: 5 - Production/Stable"
 dependencies = [
     "google-auth >= 1.11.0, < 2.0dev",
-    "google-cloud-core >= 1.4.0, < 2.0dev",
+    "google-cloud-core >= 1.4.1, < 2.0dev",
     "google-resumable-media >= 0.6.0, < 2.0dev",
 ]
 extras = {}