diff --git a/setup.py b/setup.py
index 15022a0174..eda9eeea13 100644
--- a/setup.py
+++ b/setup.py
@@ -133,6 +133,8 @@
     + profiler_extra_require
     + [
         "bigframes; python_version>='3.10'",
+        # google-api-core 2.x is required since kfp requires protobuf > 4
+        "google-api-core >= 2.11, < 3.0.0",
         "grpcio-testing",
         "ipython",
         "kfp >= 2.6.0, < 3.0.0",
@@ -172,7 +174,8 @@
     platforms="Posix; MacOS X; Windows",
     include_package_data=True,
     install_requires=(
-        "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.*",
+        "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.*",
+        "google-auth >= 2.14.1, <3.0.0dev",
         "proto-plus >= 1.22.0, <2.0.0dev",
         "protobuf>=3.19.5,<5.0.0dev,!=3.20.0,!=3.20.1,!=4.21.0,!=4.21.1,!=4.21.2,!=4.21.3,!=4.21.4,!=4.21.5",
         "packaging >= 14.3",
diff --git a/testing/constraints-3.7.txt b/testing/constraints-3.7.txt
deleted file mode 100644
index 4e4013f5bc..0000000000
--- a/testing/constraints-3.7.txt
+++ /dev/null
@@ -1,14 +0,0 @@
-# This constraints file is used to check that lower bounds
-# are correct in setup.py
-# List *all* library dependencies and extras in this file.
-# Pin the version to the lower bound.
-#
-# 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==1.32.0
-proto-plus==1.22.0
-protobuf==3.19.6
-mock==4.0.2
-google-cloud-storage==2.0.0
-packaging==20.0 # Increased for compatibility with MLFlow
-grpcio-testing==1.34.0
diff --git a/testing/constraints-3.8.txt b/testing/constraints-3.8.txt
index 6693cfec89..ac32d09837 100644
--- a/testing/constraints-3.8.txt
+++ b/testing/constraints-3.8.txt
@@ -1,7 +1,9 @@
 # -*- coding: utf-8 -*-
-# This constraints file is required for unit tests.
-# List all library dependencies and extras in this file.
-google-api-core
+# This constraints file is used to check that lower bounds
+# are correct in setup.py
+# List *all* library dependencies and extras in this file.
+google-api-core==2.11.0
+google-auth==2.14.1
 proto-plus==1.22.0
 protobuf
 mock==4.0.2