diff --git a/conftest-skipper.py b/conftest-skipper.py
new file mode 100644
index 0000000..5a1de83
--- /dev/null
+++ b/conftest-skipper.py
@@ -0,0 +1,22 @@
+
+class Skipper:
+    """Skip iso8601 and pretend tests
+
+    RHEL buildroot doesn't have python-iso8601 and python-pretend. Skip
+    all tests that use the excluded modules.
+    """
+
+    def parse_date(self, datestring):
+        pytest.skip(f"iso8601 module is not available.")
+
+    def stub(self, **kwargs):
+        pytest.skip(f"pretend module is not available.")
+
+    def raiser(self, exc):
+        pytest.skip(f"pretend module is not available.")
+
+
+import sys
+
+sys.modules["iso8601"] = sys.modules["pretend"] = Skipper()
+
diff --git a/python-cryptography.spec b/python-cryptography.spec
index 527d6ae..2c40030 100644
--- a/python-cryptography.spec
+++ b/python-cryptography.spec
@@ -7,7 +7,7 @@
 
 Name:           python-%{srcname}
 Version:        3.4.4
-Release:        2%{?dist}
+Release:        3%{?dist}
 Summary:        PyCA's cryptography library
 
 License:        ASL 2.0 or BSD
@@ -22,6 +22,7 @@ Source2:        gpgkey-05FD_9FA1_6CF7_5735_0D91_A560_235A_E5F1_29F9_ED98.gpg
 %if 0%{?rhel}
                 # created by ./vendor_rust.py helper script
 Source3:        cryptography-%{version}-vendor.tar.bz2
+Source4:        conftest-skipper.py
 %endif
 
 BuildRequires:  openssl-devel
@@ -43,10 +44,10 @@ BuildRequires:  python%{python3_pkgversion}-six >= 1.4.1
 BuildRequires:  python%{python3_pkgversion}-cryptography-vectors = %{version}
 %if 0%{?fedora}
 BuildRequires:  python%{python3_pkgversion}-hypothesis >= 1.11.4
-BuildRequires:  python%{python3_pkgversion}-pytest-xdist
-%endif
 BuildRequires:  python%{python3_pkgversion}-iso8601
 BuildRequires:  python%{python3_pkgversion}-pretend
+BuildRequires:  python%{python3_pkgversion}-pytest-xdist
+%endif
 BuildRequires:  python%{python3_pkgversion}-pytest >= 6.0
 BuildRequires:  python%{python3_pkgversion}-pytest-subtests >= 0.3.2
 BuildRequires:  python%{python3_pkgversion}-pytz
@@ -100,6 +101,8 @@ find . -name .keep -print -delete
 %if 0%{?rhel}
 # skip hypothesis tests on RHEL
 rm -rf tests/hypothesis
+# append skipper to skip iso8601 and pretend tests
+cat < %{SOURCE4} >> tests/conftest.py
 %endif
 
 # see https://github.com/pyca/cryptography/issues/4885 and
@@ -114,6 +117,9 @@ PYTHONPATH=%{buildroot}%{python3_sitearch} %{__python3} -m pytest -k "not (test_
 %{python3_sitearch}/%{srcname}-%{version}-py*.egg-info
 
 %changelog
+* Fri Feb 12 2021 Christian Heimes <cheimes@redhat.com> - 3.4.4-3
+- Skip iso8601 and pretend tests on RHEL
+
 * Fri Feb 12 2021 Christian Heimes <cheimes@redhat.com> - 3.4.4-2
 - Provide RHEL build infrastructure