diff --git a/python-wheel.spec b/python-wheel.spec
index ee0d7c2..f5bdf19 100644
--- a/python-wheel.spec
+++ b/python-wheel.spec
@@ -23,15 +23,15 @@ URL:            https://github.com/pypa/wheel
 Source0:        %{url}/archive/%{version}/%{pypi_name}-%{version}.tar.gz
 BuildArch:      noarch
 
-BuildRequires:  python3-devel
-BuildRequires:  python3-setuptools
+BuildRequires:  python%{python3_pkgversion}-devel
+BuildRequires:  python%{python3_pkgversion}-setuptools
 
 # python3 bootstrap: this is rebuilt before the final build of python3, which
 # adds the dependency on python3-rpm-generators, so we require it manually
 BuildRequires:  python3-rpm-generators
 
 %if %{with tests}
-BuildRequires:  python3-pytest
+BuildRequires:  python%{python3_pkgversion}-pytest
 # several tests compile extensions
 # those tests are skipped if gcc is not found
 BuildRequires:  gcc
@@ -50,9 +50,9 @@ It has two different roles:
 %description %{_description}
 
 
-%package -n     python3-%{pypi_name}
+%package -n     python%{python3_pkgversion}-%{pypi_name}
 Summary:        %{summary}
-%description -n python3-%{pypi_name} %{_description}
+%description -n python%{python3_pkgversion}-%{pypi_name} %{_description}
 
 
 %if %{without bootstrap}
@@ -92,8 +92,7 @@ rm setup.cfg  # to drop pytest coverage options configured there
 %pytest -v --ignore build
 %endif
 
-
-%files -n python3-%{pypi_name}
+%files -n python%{python3_pkgversion}-%{pypi_name}
 %license LICENSE.txt
 %doc README.rst
 %{_bindir}/%{pypi_name}