diff --git a/tests/core/pyspec/eth2spec/test/context.py b/tests/core/pyspec/eth2spec/test/context.py
index 7fddc0762..a6828f7e0 100644
--- a/tests/core/pyspec/eth2spec/test/context.py
+++ b/tests/core/pyspec/eth2spec/test/context.py
@@ -152,6 +152,21 @@ def misc_balances(spec):
     return balances
 
 
+def misc_balances_in_default_range(spec):
+    """
+    Helper method to create a series of balances that includes some misc. balances but
+    none that are below the ``EJECTION_BALANCE``.
+    """
+    num_validators = spec.SLOTS_PER_EPOCH * 8
+    floor = spec.config.EJECTION_BALANCE + spec.EFFECTIVE_BALANCE_INCREMENT
+    balances = [
+        max(spec.MAX_EFFECTIVE_BALANCE * 2 * i // num_validators, floor) for i in range(num_validators)
+    ]
+    rng = Random(1234)
+    rng.shuffle(balances)
+    return balances
+
+
 def low_single_balance(spec):
     """
     Helper method to create a single of balance of 1 Gwei.
diff --git a/tests/core/pyspec/eth2spec/test/phase0/sanity/test_blocks_random.py b/tests/core/pyspec/eth2spec/test/phase0/sanity/test_blocks_random.py
index 8767ad12c..f015362ac 100644
--- a/tests/core/pyspec/eth2spec/test/phase0/sanity/test_blocks_random.py
+++ b/tests/core/pyspec/eth2spec/test/phase0/sanity/test_blocks_random.py
@@ -1,7 +1,7 @@
 import itertools
 from random import Random
 from typing import Callable
-from tests.core.pyspec.eth2spec.test.context import default_activation_threshold
+from tests.core.pyspec.eth2spec.test.context import default_activation_threshold, misc_balances_in_default_range
 from eth2spec.test.helpers.multi_operations import (
     build_random_block_from_state,
 )
@@ -272,7 +272,7 @@ def _iter_temporal(spec, callable_or_int):
 
 @pytest_generate_tests_adapter
 @with_all_phases
-@with_custom_state(balances_fn=misc_balances, threshold_fn=default_activation_threshold)
+@with_custom_state(balances_fn=misc_balances_in_default_range, threshold_fn=default_activation_threshold)
 @spec_test
 @single_phase
 @always_bls