diff --git a/python-setuptools-rust.spec b/python-setuptools-rust.spec
index 498d218..0f997a5 100644
--- a/python-setuptools-rust.spec
+++ b/python-setuptools-rust.spec
@@ -1,6 +1,6 @@
 Name:           python-setuptools-rust
 Version:        0.11.6
-Release:        2%{?dist}
+Release:        4%{?dist}
 Summary:        Setuptools Rust extension plugin
 
 License:        MIT
@@ -10,11 +10,17 @@ BuildArch:      noarch
 ExclusiveArch:  %{rust_arches}
 
 BuildRequires:  python3-devel
-BuildRequires:  python3dist(setuptools) >= 46.1
-BuildRequires:  python3dist(setuptools-scm) >= 3.4.3
+BuildRequires:  python3dist(setuptools)
+BuildRequires:  python3dist(semantic-version) >= 2.6
 BuildRequires:  python3dist(toml) >= 0.9.0
+%if 0%{?fedora}
+BuildRequires:  python3dist(setuptools-scm) >= 3.4.3
 BuildRequires:  python3dist(wheel)
-BuildRequires:  rust-packaging
+BuildRequires:  rust-packaging >= 1.45
+%else
+# RHEL has rust-toolset and neither setuptools-scm nor wheel
+BuildRequires:  rust-toolset >= 1.45
+%endif
 
 %description
 Setuptools helpers for Rust Python extensions. Compile and distribute Python
@@ -22,8 +28,11 @@ extensions written in Rust as easily as if they were written in C.
 
 %package -n     python3-setuptools-rust
 Summary:        %{summary}
-Requires:       python3dist(setuptools) >= 46.1
-Requires:       rust-packaging
+%if 0%{?fedora}
+Requires:       rust-packaging >= 1.45
+%else
+Requires:       rust-toolset >= 1.45
+%endif
 
 %description -n python3-setuptools-rust
 Setuptools helpers for Rust Python extensions. Compile and distribute Python
@@ -34,12 +43,30 @@ extensions written in Rust as easily as if they were written in C.
 # Remove bundled egg-info
 rm -rf setuptools-rust.egg-info
 
+%if ! 0%{?fedora}
+# RHEL doesn't have setuptools-scm
+# remove setuptools-scm
+rm pyproject.toml
+sed -i 's/setup_requires.*//' setup.cfg
+
+# create version.py without setuptools-scm
+cat > setuptools_rust/version.py << EOF
+version = '%{VERSION}'
+version_tuple = ($(echo %{VERSION} | sed 's/\./, /g'))
+EOF
+%endif
+
+
 %build
 %py3_build
 
 %install
 %py3_install
 
+%check
+PYTHONPATH=%{buildroot}%{python3_sitelib} \
+    %{__python3} -c "from setuptools_rust import RustExtension, version"
+
 %files -n python3-setuptools-rust
 %doc README.md CHANGELOG.md
 %license LICENSE
@@ -47,6 +74,12 @@ rm -rf setuptools-rust.egg-info
 %{python3_sitelib}/setuptools_rust-%{version}-py%{python3_version}.egg-info/
 
 %changelog
+* Thu Feb 11 2021 Christian Heimes <cheimes@redhat.com> - 0.11.6-4
+- Fix RHEL build: remove wheel build requirements, use rust-toolset
+
+* Thu Feb 11 2021 Christian Heimes <cheimes@redhat.com> - 0.11.6-3
+- Add RHEL packaging support
+
 * Wed Jan 27 2021 Fedora Release Engineering <releng@fedoraproject.org> - 0.11.6-2
 - Rebuilt for https://fedoraproject.org/wiki/Fedora_34_Mass_Rebuild