diff --git a/pyelftools.spec b/pyelftools.spec
index 6b428d2..2ccd73a 100644
--- a/pyelftools.spec
+++ b/pyelftools.spec
@@ -17,6 +17,7 @@ and DWARF debugging information.
 Summary:	%{summary}
 # https://github.com/eliben/pyelftools/issues/180
 Provides:	bundled(python3-construct) = 2.6
+BuildRequires:  %{_bindir}/readelf
 BuildRequires:  python3-devel
 BuildRequires:  python3-setuptools
 BuildArch:      noarch
@@ -25,6 +26,9 @@ BuildArch:      noarch
 
 %prep
 %setup -q
+%ifnarch x86_64
+rm test/external_tools/readelf
+%endif
 
 %build
 %{py3_build}
@@ -40,12 +44,10 @@ popd
 %check
 %{__python3} test/run_all_unittests.py
 %{__python3} test/run_examples_test.py
-%ifarch x86_64
 # tests may fail because of differences in output-formatting
 # from binutils' readelf.  See:
 # https://github.com/eliben/pyelftools/wiki/Hacking-guide#tests
 %{__python3} test/run_readelf_tests.py || :
-%endif
 
 %files -n python3-%{name}
 %license LICENSE
@@ -59,6 +61,7 @@ popd
 %changelog
 * Fri Oct 30 2020 Dominik Mierzejewski <rpm@greysector.net> - 0.27-1
 - update to 0.27 (#1891845)
+- run readelf tests on all arches
 
 * Tue Jul 28 2020 Fedora Release Engineering <releng@fedoraproject.org> - 0.26-4
 - Rebuilt for https://fedoraproject.org/wiki/Fedora_33_Mass_Rebuild