diff --git a/0006-Increase-some-tolerances-for-32-bit-systems.patch b/0006-Increase-some-tolerances-for-32-bit-systems.patch
new file mode 100644
index 0000000..60ee617
--- /dev/null
+++ b/0006-Increase-some-tolerances-for-32-bit-systems.patch
@@ -0,0 +1,82 @@
+From 49e10df68f0c59f81aa5ec07ead5941db349da6d Mon Sep 17 00:00:00 2001
+From: Elliott Sales de Andrade <quantum.analyst@gmail.com>
+Date: Tue, 27 Feb 2018 02:14:00 -0500
+Subject: [PATCH 6/7] Increase some tolerances for 32-bit systems.
+
+Signed-off-by: Elliott Sales de Andrade <quantum.analyst@gmail.com>
+---
+ lib/cartopy/tests/crs/test_lambert_azimuthal_equal_area.py | 2 +-
+ lib/cartopy/tests/mpl/test_examples.py                     | 2 +-
+ lib/cartopy/tests/mpl/test_features.py                     | 2 +-
+ lib/cartopy/tests/mpl/test_images.py                       | 2 +-
+ lib/cartopy/tests/mpl/test_img_transform.py                | 2 +-
+ 5 files changed, 5 insertions(+), 5 deletions(-)
+
+diff --git a/lib/cartopy/tests/crs/test_lambert_azimuthal_equal_area.py b/lib/cartopy/tests/crs/test_lambert_azimuthal_equal_area.py
+index 93663d0..b8a4db1 100644
+--- a/lib/cartopy/tests/crs/test_lambert_azimuthal_equal_area.py
++++ b/lib/cartopy/tests/crs/test_lambert_azimuthal_equal_area.py
+@@ -42,7 +42,7 @@ class TestLambertAzimuthalEqualArea(object):
+                             decimal=4)
+         assert_almost_equal(np.array(crs.y_limits),
+                             [-12727770.598700099, 12727770.598700099],
+-                            decimal=4)
++                            decimal=1)
+ 
+     def test_eccentric_globe(self):
+         globe = ccrs.Globe(semimajor_axis=1000, semiminor_axis=500,
+diff --git a/lib/cartopy/tests/mpl/test_examples.py b/lib/cartopy/tests/mpl/test_examples.py
+index db689e0..69d4f5a 100644
+--- a/lib/cartopy/tests/mpl/test_examples.py
++++ b/lib/cartopy/tests/mpl/test_examples.py
+@@ -43,7 +43,7 @@ class ExampleImageTesting(ImageTesting):
+ 
+ @pytest.mark.natural_earth
+ @ExampleImageTesting(['global_map'],
+-                     tolerance=4 if MPL_VERSION < '2' else 0)
++                     tolerance=4 if MPL_VERSION < '2' else 0.05)
+ def test_global_map():
+     import cartopy.examples.global_map as c
+     c.main()
+diff --git a/lib/cartopy/tests/mpl/test_features.py b/lib/cartopy/tests/mpl/test_features.py
+index 250e3db..f36c344 100644
+--- a/lib/cartopy/tests/mpl/test_features.py
++++ b/lib/cartopy/tests/mpl/test_features.py
+@@ -54,7 +54,7 @@ def test_natural_earth_custom():
+ 
+ 
+ @ImageTesting(['gshhs_coastlines'],
+-              tolerance=1.7 if MPL_VERSION < '2' else 0)
++              tolerance=1.7 if MPL_VERSION < '2' else 0.07)
+ def test_gshhs():
+     ax = plt.axes(projection=ccrs.Mollweide())
+     ax.set_extent([138, 142, 32, 42], ccrs.Geodetic())
+diff --git a/lib/cartopy/tests/mpl/test_images.py b/lib/cartopy/tests/mpl/test_images.py
+index 55a7ee5..43c8d49 100644
+--- a/lib/cartopy/tests/mpl/test_images.py
++++ b/lib/cartopy/tests/mpl/test_images.py
+@@ -173,7 +173,7 @@ def test_pil_Image():
+                    reason='Proj Orthographic projection is buggy.',
+                    strict=True)
+ @ImageTesting(['imshow_natural_earth_ortho'],
+-              tolerance=4.2 if MPL_VERSION < '2' else 0)
++              tolerance=4.2 if MPL_VERSION < '2' else 0.05)
+ def test_background_img():
+     ax = plt.axes(projection=ccrs.Orthographic())
+     ax.background_img(name='ne_shaded', resolution='low')
+diff --git a/lib/cartopy/tests/mpl/test_img_transform.py b/lib/cartopy/tests/mpl/test_img_transform.py
+index 3b53c0a..dfea25a 100644
+--- a/lib/cartopy/tests/mpl/test_img_transform.py
++++ b/lib/cartopy/tests/mpl/test_img_transform.py
+@@ -98,7 +98,7 @@ elif '2.0.1' <= MPL_VERSION:
+     # Bug in latest Matplotlib that we don't consider correct.
+     regrid_tolerance = 4.75
+ else:
+-    regrid_tolerance = 0
++    regrid_tolerance = 0.03
+ 
+ 
+ @pytest.mark.natural_earth
+-- 
+2.14.3
+
diff --git a/python-cartopy.spec b/python-cartopy.spec
index cfb0bcb..c43c562 100644
--- a/python-cartopy.spec
+++ b/python-cartopy.spec
@@ -13,6 +13,7 @@ Source0:        https://files.pythonhosted.org/packages/source/C/%{Srcname}/%{Sr
 Source1:        siteconfig.py
 # Might not go upstream in current form.
 Patch0004:      0001-Increase-tolerance-for-new-FreeType.patch
+Patch0006:      0006-Increase-some-tolerances-for-32-bit-systems.patch
 
 BuildRequires:  gcc-c++
 BuildRequires:  geos-devel >= 3.3.3