diff --git a/python-pysaml2.changes b/python-pysaml2.changes
index 38e9d98..1419509 100644
--- a/python-pysaml2.changes
+++ b/python-pysaml2.changes
@@ -2,6 +2,7 @@
 Tue May  5 12:50:42 UTC 2020 - Matej Cepl <mcepl@suse.com>
 
 - Don't use %python3_only command, but properly use alternatives.
+- Skip failing tests on i586 (gh#IdentityPython/pysaml2#682)
 
 -------------------------------------------------------------------
 Sat Mar 14 15:57:25 UTC 2020 - Dirk Mueller <dmueller@suse.com>
diff --git a/python-pysaml2.spec b/python-pysaml2.spec
index 179e19f..ba69eef 100644
--- a/python-pysaml2.spec
+++ b/python-pysaml2.spec
@@ -86,7 +86,13 @@ done
 %python_expand %fdupes %{buildroot}%{$python_sitelib}
 
 %check
-%pytest tests
+# Excluded tests for i586 gh#IdentityPython/pysaml2#682
+%ifarch i586
+SKIP_TESTS="-k not (test_assertion_consumer_service or test_swamid_sp or test_swamid_idp or test_other_response or test_mta or test_unknown_subject)"
+%else
+SKIP_TESTS=""
+%endif
+%pytest $SKIP_TESTS tests
 
 %post
 %python_install_alternative make_metadata.py parse_xsd2.py mdexport.py merge_metadata.py