diff --git a/setup.py b/setup.py
index 2c9cef378e..98037fc4c2 100644
--- a/setup.py
+++ b/setup.py
@@ -30,7 +30,7 @@
 release_status = "Development Status :: 5 - Production/Stable"
 dependencies = [
     "google-api-core[grpc, grpcgcp] >= 1.14.0, < 2.0.0dev",
-    "google-cloud-core >= 1.4.1, < 2.0dev",
+    "google-cloud-core == 1.4.2rc1",
     "grpc-google-iam-v1 >= 0.12.3, < 0.13dev",
 ]
 extras = {