diff --git a/setup.py b/setup.py
index 3f506cdf..90a2a217 100644
--- a/setup.py
+++ b/setup.py
@@ -29,7 +29,7 @@
 # 'Development Status :: 5 - Production/Stable'
 release_status = "Development Status :: 3 - Alpha"
 dependencies = [
-    "google-api-core[grpc] >= 1.14.0, < 2.0.0dev",
+    "google-api-core[grpc] >= 1.31.5, <3.0.0dev,!=2.0.*,!=2.1.*,!=2.2.*,!=2.3.0",
     "google-cloud-core >= 1.0.3, < 2.0dev",
 ]
 extras = {}