diff --git a/django/contrib/gis/tests/geoapp/tests.py b/django/contrib/gis/tests/geoapp/tests.py
index df2cfce80d..be4eb2ac7f 100644
--- a/django/contrib/gis/tests/geoapp/tests.py
+++ b/django/contrib/gis/tests/geoapp/tests.py
@@ -1,6 +1,7 @@
 import os, unittest
 from models import Country, City, State, Feature
 from django.contrib.gis import gdal
+from django.contrib.gis.db.backend import SpatialBackend
 from django.contrib.gis.geos import *
 from django.contrib.gis.measure import Distance
 from django.contrib.gis.tests.utils import no_oracle, no_postgis, oracle, postgis
@@ -123,11 +124,22 @@ class GeoModelTest(unittest.TestCase):
         qs = City.objects.all()
         self.assertRaises(TypeError, qs.kml, 'name')
 
+        # The reference KML depends on the version of PostGIS used 
+        # (the output stopped including altitude in 1.3.3).
+        major, minor1, minor2 = SpatialBackend.version
+        ref_kml1 = '<Point><coordinates>-104.609252,38.255001,0</coordinates></Point>'
+        ref_kml2 = '<Point><coordinates>-104.609252,38.255001</coordinates></Point>'
+        if major == 1:
+            if minor1 > 3 or (minor1 == 3 and minor2 >= 3): ref_kml = ref_kml2
+            else: ref_kml = ref_kml1
+        else:
+            ref_kml = ref_kml2
+
         # Ensuring the KML is as expected.
         ptown1 = City.objects.kml('point', precision=9).get(name='Pueblo')
         ptown2 = City.objects.kml(precision=9).get(name='Pueblo')
         for ptown in [ptown1, ptown2]:
-            self.assertEqual('<Point><coordinates>-104.609252,38.255001,0</coordinates></Point>', ptown.kml)
+            self.assertEqual(ref_kml, ptown.kml)
 
     def test03b_gml(self):
         "Testing GML output from the database using GeoManager.gml()."
diff --git a/django/contrib/gis/tests/test_gdal_geom.py b/django/contrib/gis/tests/test_gdal_geom.py
index aa4e325116..37fa2e7071 100644
--- a/django/contrib/gis/tests/test_gdal_geom.py
+++ b/django/contrib/gis/tests/test_gdal_geom.py
@@ -1,6 +1,7 @@
 import unittest
 from django.contrib.gis.gdal import OGRGeometry, OGRGeomType, \
-    OGRException, OGRIndexError, SpatialReference, CoordTransform
+    OGRException, OGRIndexError, SpatialReference, CoordTransform, \
+    gdal_version
 from django.contrib.gis.tests.geometries import *
 
 class OGRGeomTest(unittest.TestCase):
@@ -196,7 +197,12 @@ class OGRGeomTest(unittest.TestCase):
             self.fail('Should have raised an OGRException!')
         print "\nEND - expecting IllegalArgumentException; safe to ignore.\n"
 
-        # Closing the rings
+        # Closing the rings -- doesn't work on GDAL versions 1.4.1 and below:
+        # http://trac.osgeo.org/gdal/ticket/1673
+        major, minor1, minor2 = gdal_version().split('.')
+        if major == '1':
+            iminor1 = int(minor1)
+            if iminor1 < 4 or (iminor1 == 4 and minor2.startswith('1')): return
         poly.close_rings()
         self.assertEqual(10, poly.point_count) # Two closing points should've been added
         self.assertEqual(OGRGeometry('POINT(2.5 2.5)'), poly.centroid)