diff --git a/CHANGELOG.md b/CHANGELOG.md
index e736e7e..9fe6639 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,5 +1,12 @@
 # Changelog
 
+## [1.2.1](https://github.com/googleapis/python-monitoring-metrics-scopes/compare/v1.2.0...v1.2.1) (2022-07-13)
+
+
+### Bug Fixes
+
+* **deps:** require google-api-core>=1.32.0,>=2.8.0 ([#80](https://github.com/googleapis/python-monitoring-metrics-scopes/issues/80)) ([47d6a76](https://github.com/googleapis/python-monitoring-metrics-scopes/commit/47d6a7699decf882ca81a69f0abba82d43bf8ed1))
+
 ## [1.2.0](https://github.com/googleapis/python-monitoring-metrics-scopes/compare/v1.1.2...v1.2.0) (2022-07-06)
 
 
diff --git a/setup.py b/setup.py
index e9e2bbc..74ded35 100644
--- a/setup.py
+++ b/setup.py
@@ -18,7 +18,7 @@
 
 import setuptools  # type: ignore
 
-version = "1.2.0"
+version = "1.2.1"
 
 package_root = os.path.abspath(os.path.dirname(__file__))
 
@@ -40,7 +40,7 @@
     platforms="Posix; MacOS X; Windows",
     include_package_data=True,
     install_requires=(
-        "google-api-core[grpc] >= 2.8.0, <3.0.0dev",
+        "google-api-core[grpc] >= 1.32.0, <3.0.0dev,!=2.0.*,!=2.1.*,!=2.2.*,!=2.3.*,!=2.4.*,!=2.5.*,!=2.6.*,!=2.7.*",
         "proto-plus >= 1.15.0, <2.0.0dev",
         "protobuf >= 3.19.0, <4.0.0dev",
     ),
diff --git a/testing/constraints-3.7.txt b/testing/constraints-3.7.txt
index b66105b..317c02d 100644
--- a/testing/constraints-3.7.txt
+++ b/testing/constraints-3.7.txt
@@ -5,6 +5,6 @@
 #
 # e.g., if setup.py has "foo >= 1.14.0, < 2.0.0dev",
 # Then this file should have foo==1.14.0
-google-api-core==2.8.0
+google-api-core==1.32.0
 proto-plus==1.15.0
 protobuf==3.19.0