diff --git a/python-pip.spec b/python-pip.spec
index b02777c..3e7dce8 100644
--- a/python-pip.spec
+++ b/python-pip.spec
@@ -211,11 +211,14 @@ Requires:       ca-certificates
 %{bundled 3}
 
 # This is only relevant for Pythons that are older than 3.12 and don't use their own bundled wheels
+# It is also only relevant when this wheel is shared across multiple Pythons
+%if "%{python_wheel_pkg_prefix}" == "python"
 %{crypt_compat_recommends 3.11}
 %{crypt_compat_recommends 3.10}
 %{crypt_compat_recommends 3.9}
 %{crypt_compat_recommends 3.8}
 %{crypt_compat_recommends 3.7}
+%endif
 
 %description -n %{python_wheel_pkg_prefix}-%{srcname}-wheel
 A Python wheel of pip to use with venv.