diff --git a/python-psutil-add-tolerance.patch b/python-psutil-add-tolerance.patch
new file mode 100644
index 0000000..8c41db4
--- /dev/null
+++ b/python-psutil-add-tolerance.patch
@@ -0,0 +1,25 @@
+From 4ffbcb458ff0b838f2bfe387b6305c4817e363ae Mon Sep 17 00:00:00 2001
+From: =?UTF-8?q?Miro=20Hron=C4=8Dok?= <miro@hroncok.cz>
+Date: Thu, 15 Apr 2021 17:07:38 +0200
+Subject: [PATCH] Add tolerance to
+ test_linux.TestSystemVirtualMemory.test_total
+
+We see this test as very flaky without tolerance in Fedora and CentOS
+---
+ psutil/tests/test_linux.py | 3 ++-
+ 1 file changed, 2 insertions(+), 1 deletion(-)
+
+diff --git a/psutil/tests/test_linux.py b/psutil/tests/test_linux.py
+index 0c6d498c8..f5243c2cd 100755
+--- a/psutil/tests/test_linux.py
++++ b/psutil/tests/test_linux.py
+@@ -243,7 +243,8 @@ def test_total(self):
+         # self.assertEqual(free_value, psutil_value)
+         vmstat_value = vmstat('total memory') * 1024
+         psutil_value = psutil.virtual_memory().total
+-        self.assertAlmostEqual(vmstat_value, psutil_value)
++        self.assertAlmostEqual(
++            vmstat_value, psutil_value, delta=TOLERANCE_SYS_MEM)
+ 
+     @retry_on_failure()
+     def test_used(self):
diff --git a/python-psutil.spec b/python-psutil.spec
index 83054a1..b1a2bbb 100644
--- a/python-psutil.spec
+++ b/python-psutil.spec
@@ -3,7 +3,7 @@
 
 Name:           python-%{srcname}
 Version:        5.8.0
-Release:        5%{?dist}
+Release:        6%{?dist}
 Summary:        %{sum}
 
 License:        BSD
@@ -14,6 +14,9 @@ Source0:        %{url}/archive/release-%{version}/%{srcname}-%{version}.tar.gz
 #
 Patch0:         python-psutil-skip-tests-in-mock.patch
 
+# Add tolerance to psutil.tests.test_linux.TestSystemVirtualMemory.test_total
+Patch1:         https://github.com/giampaolo/psutil/pull/1935.patch#/python-psutil-add-tolerance.patch
+
 BuildRequires: make
 BuildRequires:  gcc
 BuildRequires:  python%{python3_pkgversion}-devel
@@ -106,6 +109,9 @@ make test CI_TESTING=1 PYTHON=%{__python3} PYTHONPATH=%{buildroot}/%{python3_sit
 
 
 %changelog
+* Thu Apr 15 2021 Miro Hrončok <mhroncok@redhat.com> - 5.8.0-6
+- Add tolerance to a flaky test
+
 * Thu Jan 28 2021 Tomas Orsava <torsava@redhat.com> - 5.8.0-5
 - Remove unnecessary test dependency on python3-mock
 - Remove unnecessary macro __provides_exclude_from