diff --git a/samples/snippets/requirements-test.txt b/samples/snippets/requirements-test.txt
index 9fdbe021..90b34de7 100644
--- a/samples/snippets/requirements-test.txt
+++ b/samples/snippets/requirements-test.txt
@@ -1,4 +1,4 @@
 backoff===1.11.1; python_version < "3.7"
 backoff==2.1.2; python_version >= "3.7"
-pytest==7.1.2
+pytest==7.1.3
 flaky==3.7.0
diff --git a/samples/snippets/schedule-export/requirements-test.txt b/samples/snippets/schedule-export/requirements-test.txt
index 6a3d7bca..f97bae64 100644
--- a/samples/snippets/schedule-export/requirements-test.txt
+++ b/samples/snippets/schedule-export/requirements-test.txt
@@ -1 +1 @@
-pytest==7.1.2
\ No newline at end of file
+pytest==7.1.3
\ No newline at end of file
diff --git a/setup.py b/setup.py
index 23131ef3..acfb2880 100644
--- a/setup.py
+++ b/setup.py
@@ -32,7 +32,7 @@
     # 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] >= 1.31.5, <3.0.0dev,!=2.0.*,!=2.1.*,!=2.2.*,!=2.3.0",
+    "google-api-core[grpc] >=2.10, <3.0.0dev, !=2.0, !=2.1, !=2.2, !=2.3.0",
     # 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