diff --git a/setup.py b/setup.py
index 31840e81..7a3fe9ce 100644
--- a/setup.py
+++ b/setup.py
@@ -84,7 +84,9 @@ def readme():
         # Until this issue is closed
         # https://github.com/googleapis/google-cloud-python/issues/10566
         "google-auth>=1.25.0,<3.0.0dev",  # Work around pip wack.
-        "google-cloud-bigquery>=2.25.2,<3.0.0dev",
+        "google-cloud-bigquery>=2.25.2,<4.0.0dev",
+        "google-cloud-bigquery-storage>=2.0.0,<3.0.0dev",
+        "pyarrow>=3.0.0,<7.0dev",
         # Temporarily set maximimum sqlalchemy to a known-working version while
         # we debug failing compliance tests. See:
         # https://github.com/googleapis/python-bigquery-sqlalchemy/issues/386
diff --git a/testing/constraints-3.6.txt b/testing/constraints-3.6.txt
index f65bd213..9d2df4fe 100644
--- a/testing/constraints-3.6.txt
+++ b/testing/constraints-3.6.txt
@@ -7,4 +7,6 @@
 sqlalchemy==1.2.0
 google-auth==1.25.0
 google-cloud-bigquery==2.25.2
+google-cloud-bigquery-storage==2.0.0
 google-api-core==1.31.5
+pyarrow==3.0.0