diff --git a/pkgs/development/interpreters/python/hooks/python-relax-deps-hook.sh b/pkgs/development/interpreters/python/hooks/python-relax-deps-hook.sh
index 31bdec914f69..3502fe106369 100644
--- a/pkgs/development/interpreters/python/hooks/python-relax-deps-hook.sh
+++ b/pkgs/development/interpreters/python/hooks/python-relax-deps-hook.sh
@@ -78,24 +78,25 @@ pythonRelaxDepsHook() {
     pushd dist
 
     # See https://peps.python.org/pep-0491/#escaping-and-unicode
-    local -r pkg_name="${pname//[^[:alnum:].]/_}-$version"
+    local -r pkg_name="${pname//[^[:alnum:].]/_}"
     local -r unpack_dir="unpacked"
-    local -r metadata_file="$unpack_dir/$pkg_name/$pkg_name.dist-info/METADATA"
+    local -r metadata_file="$unpack_dir/$pkg_name*/$pkg_name*.dist-info/METADATA"
 
     # We generally shouldn't have multiple wheel files, but let's be safer here
     for wheel in "$pkg_name"*".whl"; do
         @pythonInterpreter@ -m wheel unpack --dest "$unpack_dir" "$wheel"
         rm -rf "$wheel"
 
-        _pythonRelaxDeps "$metadata_file"
-        _pythonRemoveDeps "$metadata_file"
+        # Using no quotes on purpose since we need to expand the glob from `$metadata_file`
+        _pythonRelaxDeps $metadata_file
+        _pythonRemoveDeps $metadata_file
 
         if (( "${NIX_DEBUG:-0}" >= 1 )); then
             echo "pythonRelaxDepsHook: resulting METADATA for '$wheel':"
-            cat "$unpack_dir/$pkg_name/$pkg_name.dist-info/METADATA"
+            cat $metadata_file
         fi
 
-        @pythonInterpreter@ -m wheel pack "$unpack_dir/$pkg_name"
+        @pythonInterpreter@ -m wheel pack "$unpack_dir/$pkg_name"*
     done
 
     # Remove the folder since it will otherwise be in the dist output.