diff --git a/setup.py b/setup.py
index b3a1575734..539e4cbf14 100644
--- a/setup.py
+++ b/setup.py
@@ -65,7 +65,10 @@
     platforms="Posix; MacOS X; Windows",
     include_package_data=True,
     install_requires=(
-        "google-api-core[grpc] >= 1.22.2, < 2.0.0dev",
+        # NOTE: Maintainers, please do not require google-api-core>=2.x.x
+        # Until this issue is closed
+        # https://github.com/googleapis/google-cloud-python/issues/10566
+        "google-api-core[grpc] >= 1.22.2, <3.0.0dev",
         "proto-plus >= 1.10.1",
         "packaging >= 14.3",
         "google-cloud-storage >= 1.32.0, < 2.0.0dev",