diff --git a/python-jinja2.spec b/python-jinja2.spec
index f839822..e81c6a4 100644
--- a/python-jinja2.spec
+++ b/python-jinja2.spec
@@ -15,6 +15,8 @@ Source0:        %{pypi_source %srcname}
 %else
 %bcond_without docs
 %endif
+# The dependency on trio is undesired on RHEL
+%bcond asyncio_tests %{undefined rhel}
 
 BuildArch:      noarch
 
@@ -35,6 +37,9 @@ environments.}
 Summary:        %{summary}
 BuildRequires:  python3-devel
 BuildRequires:  python3-pytest
+%if %{with asyncio_tests}
+BuildRequires:  python3-trio
+%endif
 %if %{with docs}
 BuildRequires:  %{_bindir}/sphinx-build-3
 BuildRequires:  make
@@ -73,7 +78,7 @@ rm -rvf docs/_build/html/.buildinfo
 
 
 %check
-%pytest tests
+%pytest tests %{!?with_asyncio_tests:--ignore tests/test_async.py --ignore tests/test_async_filters.py}
 
 
 %files -n python3-jinja2 -f %{pyproject_files}