diff --git a/setup.py b/setup.py
index 8c5481f7ea..d040dc068d 100644
--- a/setup.py
+++ b/setup.py
@@ -315,7 +315,7 @@
     platforms="Posix; MacOS X; Windows",
     include_package_data=True,
     install_requires=(
-        "google-api-core[grpc] >= 2.27.0, <3.0.0",
+        "google-api-core[grpc] >= 2.28.1, <3.0.0",
         "google-auth >= 2.47.0, <3.0.0",
         "certifi >= 2023.7.22",
         "proto-plus >= 1.22.3, <2.0.0",
diff --git a/testing/constraints-3.10.txt b/testing/constraints-3.10.txt
index 590569be42..6d7d1842c1 100644
--- a/testing/constraints-3.10.txt
+++ b/testing/constraints-3.10.txt
@@ -1,7 +1,7 @@
 # -*- coding: utf-8 -*-
 # This constraints file is required for unit tests.
 # List all library dependencies and extras in this file.
-google-api-core==2.27.0 # Tests google-api-core with rest async support
+google-api-core==2.28.1 # Tests google-api-core with rest async support
 google-auth==2.49.0
 proto-plus==1.22.3
 protobuf
diff --git a/testing/constraints-3.11.txt b/testing/constraints-3.11.txt
index 2c2484ef72..c24b503a13 100644
--- a/testing/constraints-3.11.txt
+++ b/testing/constraints-3.11.txt
@@ -1,7 +1,7 @@
 # -*- coding: utf-8 -*-
 # This constraints file is required for unit tests.
 # List all library dependencies and extras in this file.
-google-api-core==2.27.0 # Tests google-api-core with rest async support
+google-api-core==2.28.1 # Tests google-api-core with rest async support
 google-auth==2.49.0
 proto-plus
 protobuf
diff --git a/testing/constraints-3.12.txt b/testing/constraints-3.12.txt
index 8421e7d834..330286f722 100644
--- a/testing/constraints-3.12.txt
+++ b/testing/constraints-3.12.txt
@@ -1,7 +1,7 @@
 # -*- coding: utf-8 -*-
 # This constraints file is required for unit tests.
 # List all library dependencies and extras in this file.
-google-api-core==2.27.0 # Tests google-api-core with rest async support
+google-api-core==2.28.1 # Tests google-api-core with rest async support
 google-auth==2.49.0
 proto-plus
 mock==4.0.2
diff --git a/testing/constraints-3.13.txt b/testing/constraints-3.13.txt
index 09308e2cbb..f0079e1b50 100644
--- a/testing/constraints-3.13.txt
+++ b/testing/constraints-3.13.txt
@@ -1,7 +1,7 @@
 # -*- coding: utf-8 -*-
 # This constraints file is required for unit tests.
 # List all library dependencies and extras in this file.
-google-api-core==2.27.0 # Tests google-api-core with rest async support
+google-api-core==2.28.1 # Tests google-api-core with rest async support
 google-auth==2.49.0
 proto-plus
 mock==4.0.2