diff --git a/setup.py b/setup.py
index 3f28dc981..ee23aaea3 100644
--- a/setup.py
+++ b/setup.py
@@ -32,7 +32,7 @@
     "google-auth >= 1.25.0, < 3.0dev; python_version>='3.6'",
     "google-api-core >= 1.29.0, < 2.0dev; python_version<'3.0'",
     "google-api-core >= 1.29.0, < 3.0dev; python_version>='3.6'",
-    "google-cloud-core >= 1.6.0, < 2.0dev; python_version<'3.0'",
+    "google-cloud-core>=1.6.0, <2.1; python_version<'3.0'",
     "google-cloud-core >= 1.6.0, < 3.0dev; python_version>='3.6'",
     "google-resumable-media >= 1.3.0, < 2.0dev; python_version<'3.0'",
     "google-resumable-media >= 1.3.0, < 3.0dev; python_version>='3.6'",