diff --git a/tests/core/pyspec/eth2spec/test/phase0/rewards/test_random.py b/tests/core/pyspec/eth2spec/test/phase0/rewards/test_random.py
index f158f3cf8..68a6a3279 100644
--- a/tests/core/pyspec/eth2spec/test/phase0/rewards/test_random.py
+++ b/tests/core/pyspec/eth2spec/test/phase0/rewards/test_random.py
@@ -37,6 +37,20 @@ def test_full_random_3(spec, state):
     yield from rewards_helpers.run_test_full_random(spec, state, rng=Random(4040))
 
 
+@with_all_phases
+@spec_state_test
+def test_full_random_4(spec, state):
+    """
+    Ensure a rewards test with some exited (but not slashed) validators.
+    """
+    rng = Random(5050)
+    randomize_state(spec, state, rng)
+    assert spec.is_in_inactivity_leak(state)
+    target_validators = get_unslashed_exited_validators(spec, state)
+    assert len(target_validators) != 0
+    yield from rewards_helpers.run_deltas(spec, state)
+
+
 @with_all_phases
 @with_custom_state(balances_fn=low_balances, threshold_fn=lambda spec: spec.config.EJECTION_BALANCE)
 @spec_test