diff --git a/packages/google-cloud-bigtable/tests/unit/data/_async/test_client.py b/packages/google-cloud-bigtable/tests/unit/data/_async/test_client.py
index 8d2aa9872d01..534b5e61132b 100644
--- a/packages/google-cloud-bigtable/tests/unit/data/_async/test_client.py
+++ b/packages/google-cloud-bigtable/tests/unit/data/_async/test_client.py
@@ -2328,7 +2328,7 @@ async def mock_call(*args, **kwargs):
                         starting_timeout - kwargs["operation_timeout"]
                         for _, kwargs in read_rows.call_args_list
                     ]
-                    eps = 0.01
+                    eps = 0.2
                     # first 10 should start immediately
                     assert all(
                         rpc_start_list[i] < eps for i in range(_CONCURRENCY_LIMIT)
diff --git a/packages/google-cloud-bigtable/tests/unit/data/_sync_autogen/test_client.py b/packages/google-cloud-bigtable/tests/unit/data/_sync_autogen/test_client.py
index ca5158381774..2336f41117ab 100644
--- a/packages/google-cloud-bigtable/tests/unit/data/_sync_autogen/test_client.py
+++ b/packages/google-cloud-bigtable/tests/unit/data/_sync_autogen/test_client.py
@@ -1926,7 +1926,7 @@ def mock_call(*args, **kwargs):
                         starting_timeout - kwargs["operation_timeout"]
                         for _, kwargs in read_rows.call_args_list
                     ]
-                    eps = 0.01
+                    eps = 0.2
                     assert all(
                         (rpc_start_list[i] < eps for i in range(_CONCURRENCY_LIMIT))
                     )