diff --git a/tests/gis_tests/distapp/tests.py b/tests/gis_tests/distapp/tests.py
index bde78a8e06..a047980c9c 100644
--- a/tests/gis_tests/distapp/tests.py
+++ b/tests/gis_tests/distapp/tests.py
@@ -142,7 +142,7 @@ class DistanceTest(TestCase):
         """
         Test the `distance` GeoQuerySet method on geodetic coordinate systems.
         """
-        tol = 2 if oracle else 5
+        tol = 2 if oracle else 4
 
         # Testing geodetic distance calculation with a non-point geometry
         # (a LineString of Wollongong and Shellharbour coords).
diff --git a/tests/gis_tests/geogapp/tests.py b/tests/gis_tests/geogapp/tests.py
index e3e97f47cd..e2f7dc20e1 100644
--- a/tests/gis_tests/geogapp/tests.py
+++ b/tests/gis_tests/geogapp/tests.py
@@ -12,7 +12,7 @@ from django.contrib.gis.measure import D
 from django.test import TestCase, skipUnlessDBFeature
 from django.utils._os import upath
 
-from ..utils import oracle, postgis
+from ..utils import postgis
 
 if HAS_GEOS:
     from .models import City, County, Zipcode
@@ -97,7 +97,9 @@ class GeographyTest(TestCase):
     def test06_geography_area(self):
         "Testing that Area calculations work on geography columns."
         # SELECT ST_Area(poly) FROM geogapp_zipcode WHERE code='77002';
-        ref_area = 5439100.95415646 if oracle else 5439084.70637573
-        tol = 5
         z = Zipcode.objects.area().get(code='77002')
-        self.assertAlmostEqual(z.area.sq_m, ref_area, tol)
+        # Round to the nearest thousand as possible values (depending on
+        # the database and geolib) include 5439084, 5439100, 5439101.
+        rounded_value = z.area.sq_m
+        rounded_value -= z.area.sq_m % 1000
+        self.assertEqual(rounded_value, 5439000)