diff --git a/setup.py b/setup.py
index fab06e98..628fd3ff 100644
--- a/setup.py
+++ b/setup.py
@@ -44,9 +44,9 @@
     platforms="Posix; MacOS X; Windows",
     include_package_data=True,
     install_requires=(
-        "google-api-core[grpc] >= 1.33.1, <3.0.0dev,!=2.0.*,!=2.1.*,!=2.2.*,!=2.3.*,!=2.4.*,!=2.5.*,!=2.6.*,!=2.7.*",
+        "google-api-core[grpc] >= 1.33.2, <3.0.0dev,!=2.0.*,!=2.1.*,!=2.2.*,!=2.3.*,!=2.4.*,!=2.5.*,!=2.6.*,!=2.7.*",
         "proto-plus >= 1.22.0, <2.0.0dev",
-        "protobuf >= 3.20.2, <5.0.0dev",
+        "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",
     ),
     python_requires=">=3.7",
     classifiers=[
diff --git a/testing/constraints-3.7.txt b/testing/constraints-3.7.txt
index 5ad1f41a..6f3158cc 100644
--- a/testing/constraints-3.7.txt
+++ b/testing/constraints-3.7.txt
@@ -4,6 +4,6 @@
 # Pin the version to the lower bound.
 # e.g., if setup.py has "google-cloud-foo >= 1.14.0, < 2.0.0dev",
 # Then this file should have google-cloud-foo==1.14.0
-google-api-core==1.33.1
+google-api-core==1.33.2
 proto-plus==1.22.0
-protobuf==3.20.2
+protobuf==3.19.5