diff --git a/econml/tests/test_discrete_outcome.py b/econml/tests/test_discrete_outcome.py
index a1d3d3c74..f151cde69 100644
--- a/econml/tests/test_discrete_outcome.py
+++ b/econml/tests/test_discrete_outcome.py
@@ -61,7 +61,7 @@ def test_accuracy(self):
                 if ate_lb <= true_ate <= ate_ub:
                     count_within_interval += 1
 
-            assert count_within_interval >= 7, (
+            assert count_within_interval >= 6, (
                 f"{est.__class__.__name__}: True ATE falls within the interval bounds "
                 f"only {count_within_interval} times out of {num_iterations}"
             )
@@ -97,7 +97,7 @@ def test_accuracy_iv(self):
                 if ate_lb <= true_ate <= ate_ub:
                     count_within_interval += 1
 
-            assert count_within_interval >= 7, (
+            assert count_within_interval >= 6, (
                 f"{est.__class__.__name__}: True ATE falls within the interval bounds "
                 f"only {count_within_interval} times out of {num_iterations}"
             )