diff --git a/python-setuptools-rust.spec b/python-setuptools-rust.spec
index 8918e8a..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:        3%{?dist}
+Release:        4%{?dist}
 Summary:        Setuptools Rust extension plugin
 
 License:        MIT
@@ -13,12 +13,13 @@ BuildRequires:  python3-devel
 BuildRequires:  python3dist(setuptools)
 BuildRequires:  python3dist(semantic-version) >= 2.6
 BuildRequires:  python3dist(toml) >= 0.9.0
-BuildRequires:  python3dist(wheel)
 %if 0%{?fedora}
 BuildRequires:  python3dist(setuptools-scm) >= 3.4.3
-BuildRequires:  rust-packaging
+BuildRequires:  python3dist(wheel)
+BuildRequires:  rust-packaging >= 1.45
 %else
-BuildRequires:  rust-toolset
+# RHEL has rust-toolset and neither setuptools-scm nor wheel
+BuildRequires:  rust-toolset >= 1.45
 %endif
 
 %description
@@ -27,7 +28,11 @@ extensions written in Rust as easily as if they were written in C.
 
 %package -n     python3-setuptools-rust
 Summary:        %{summary}
-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
@@ -69,6 +74,9 @@ PYTHONPATH=%{buildroot}%{python3_sitelib} \
 %{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