diff --git a/setup.py b/setup.py
index e9bce0960..d50154224 100644
--- a/setup.py
+++ b/setup.py
@@ -37,7 +37,7 @@
 # 'Development Status :: 5 - Production/Stable'
 release_status = "Development Status :: 5 - Production/Stable"
 dependencies = [
-    "google-api-core[grpc] >= 1.34.0, <3.0.0dev,!=2.0.*,!=2.1.*,!=2.2.*,!=2.3.*,!=2.4.*,!=2.5.*,!=2.6.*,!=2.7.*,!=2.8.*,!=2.9.*,!=2.10.*",
+    "google-api-core[grpc] >= 2.16.0rc0, <3.0.0dev,!=2.2.*,!=2.3.*,!=2.4.*,!=2.5.*,!=2.6.*,!=2.7.*,!=2.8.*,!=2.9.*,!=2.10.*",
     "google-cloud-core >= 1.4.4, <3.0.0dev",
     "grpc-google-iam-v1 >= 0.12.4, <1.0.0dev",
     "proto-plus >= 1.22.0, <2.0.0dev",