diff --git a/tests/regression_tests/triso/test.py b/tests/regression_tests/triso/test.py
index 248724cc29..06ae04492f 100644
--- a/tests/regression_tests/triso/test.py
+++ b/tests/regression_tests/triso/test.py
@@ -1,7 +1,3 @@
-import random
-from math import sqrt
-
-import numpy as np
 import openmc
 import openmc.model
 
@@ -65,8 +61,8 @@ class TRISOTestHarness(PyAPITestHarness):
         box = openmc.Cell(region=box_region)
 
         outer_radius = 422.5*1e-4
-        centers = openmc.model.pack_spheres(radius=outer_radius,
-            region=box_region, num_spheres=100)
+        centers = openmc.model.pack_spheres(
+            radius=outer_radius, region=box_region, num_spheres=100, seed=1)
         trisos = [openmc.model.TRISO(outer_radius, inner_univ, c)
             for c in centers]
 
diff --git a/tests/unit_tests/test_deplete_resultslist.py b/tests/unit_tests/test_deplete_resultslist.py
index 3c6d77a759..6e4a4210bd 100644
--- a/tests/unit_tests/test_deplete_resultslist.py
+++ b/tests/unit_tests/test_deplete_resultslist.py
@@ -74,7 +74,7 @@ def test_get_keff(res):
 def test_get_steps(unit):
     # Make a Results full of near-empty Result instances
     # Just fill out a time schedule
-    results = openmc.deplete.Results()
+    results = openmc.deplete.Results(filename=None)
     # Time in units of unit
     times = np.linspace(0, 100, num=5)
     if unit == "a":