diff --git a/testing/constraints-3.10.txt b/testing/constraints-3.10.txt
new file mode 100644
index 000000000..e69de29bb
diff --git a/testing/constraints-3.11.txt b/testing/constraints-3.11.txt
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index 000000000..e69de29bb
diff --git a/testing/constraints-3.6.txt b/testing/constraints-3.6.txt
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index 000000000..201cbf494
--- /dev/null
+++ b/testing/constraints-3.6.txt
@@ -0,0 +1,11 @@
+# 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-auth==1.11.0
+google-cloud-core==1.4.1
+google-resumable-media==1.0.0
+requests==2.18.0
\ No newline at end of file
diff --git a/testing/constraints-3.7.txt b/testing/constraints-3.7.txt
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index 000000000..e69de29bb
diff --git a/testing/constraints-3.8.txt b/testing/constraints-3.8.txt
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index 000000000..e69de29bb
diff --git a/testing/constraints-3.9.txt b/testing/constraints-3.9.txt
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index 000000000..e69de29bb