diff --git a/default.nix b/default.nix
index 5fb646f..cbdeec0 100644
--- a/default.nix
+++ b/default.nix
@@ -114,7 +114,7 @@ lib.makeScope pkgs.newScope (self: {
 
                   __toPluginAble = toPluginAble self;
 
-                  inherit (hooks) pipBuildHook removePathDependenciesHook poetry2nixFixupHook;
+                  inherit (hooks) pipBuildHook removePathDependenciesHook poetry2nixFixupHook wheelUnpackHook;
                 }
             )
             # Null out any filtered packages, we don't want python.pkgs from nixpkgs
diff --git a/hooks/default.nix b/hooks/default.nix
index 001a3d0..e248a5e 100644
--- a/hooks/default.nix
+++ b/hooks/default.nix
@@ -49,4 +49,16 @@ in
         } ./fixup-hook.sh
     ) { };
 
+  # When the "wheel" package itself is a wheel the nixpkgs hook (which pulls in "wheel") leads to infinite recursion
+  # It doesn't _really_ depend on wheel though, it just copies the wheel.
+  wheelUnpackHook = callPackage
+    ({}:
+      makeSetupHook
+        {
+          name = "wheel-unpack-hook.sh";
+          deps = [ ];
+        } ./wheel-unpack-hook.sh
+    ) { };
+
+
 }
diff --git a/hooks/wheel-unpack-hook.sh b/hooks/wheel-unpack-hook.sh
new file mode 100644
index 0000000..fca808a
--- /dev/null
+++ b/hooks/wheel-unpack-hook.sh
@@ -0,0 +1,18 @@
+# Setup hook to use in case a wheel is fetched
+echo "Sourcing wheel setup hook"
+
+wheelUnpackPhase(){
+    echo "Executing wheelUnpackPhase"
+    runHook preUnpack
+
+    mkdir -p dist
+    cp "$src" "dist/$(stripHash "$src")"
+
+#     runHook postUnpack # Calls find...?
+    echo "Finished executing wheelUnpackPhase"
+}
+
+if [ -z "${dontUseWheelUnpack-}" ] && [ -z "${unpackPhase-}" ]; then
+    echo "Using wheelUnpackPhase"
+    unpackPhase=wheelUnpackPhase
+fi
diff --git a/overrides.nix b/overrides.nix
index 96cf4e8..087671b 100644
--- a/overrides.nix
+++ b/overrides.nix
@@ -944,17 +944,34 @@ self: super:
     }
   );
 
+
   # Stop infinite recursion by using bootstrapped pkg from nixpkgs
-  wheel = (
-    pkgs.python3.pkgs.override {
+  bootstrapped-pip = super.bootstrapped-pip.override {
+    wheel = (pkgs.python3.pkgs.override {
       python = self.python;
-    }
-  ).wheel.overridePythonAttrs (
-    old:
-    if old.format == "other" then old else {
-      inherit (super.wheel) pname name version src;
-    }
-  );
+    }).wheel;
+  };
+  wheel =
+    let
+      isWheel = super.wheel.src.isWheel or false;
+      # If "wheel" is a pre-built binary wheel
+      wheelPackage = super.buildPythonPackage {
+        inherit (super.wheel) pname name version src;
+        inherit (pkgs.python3.pkgs.wheel) meta;
+        format = "wheel";
+      };
+      # If "wheel" is built from source
+      sourcePackage = (
+        pkgs.python3.pkgs.override {
+          python = self.python;
+        }
+      ).wheel.overridePythonAttrs (
+        old: {
+          inherit (super.wheel) pname name version src;
+        }
+      );
+    in
+    if isWheel then wheelPackage else sourcePackage;
 
   zipp =
     (