diff --git a/docs/common_options.md b/docs/common_options.md
index 83abcf84..563730e9 100644
--- a/docs/common_options.md
+++ b/docs/common_options.md
@@ -226,11 +226,10 @@ set(CMAKE_CXX_STANDARD_INCLUDE_DIRECTORIES ${CMAKE_CXX_IMPLICIT_INCLUDE_DIRECTOR
 ```
 
 ### Nix wrapper
-On NixOS or when using `nix`, `clang-uml` provides a wrapper script called
-`clang-uml-wrapped`, which builds and exports `CPATH` and `CPLUS_INCLUDE_PATH`
+On NixOS or when using `nix`, `clang-uml` uses a wrapper script,
+which builds and exports `CPATH` and `CPLUS_INCLUDE_PATH`
 environment variables before running `clang-uml`, which contain valid
 system header Clang paths for the current Nix environment.
 
-The `clang-uml-wrapped` script can be called the same way as `clang-uml` and
-should resolve the system include paths without the need for any of the above
-solutions.
+If you want to use an unwrapped version, the `clang-uml-unwrapped` binary
+can be called the same way as `clang-uml`.
diff --git a/packaging/nix/default.nix b/packaging/nix/default.nix
index f6571b2c..6be05643 100644
--- a/packaging/nix/default.nix
+++ b/packaging/nix/default.nix
@@ -30,11 +30,13 @@ stdenv.mkDerivation {
   clang = if enableLibcxx then llvmPackages.libcxxClang else llvmPackages.clang;
 
   postInstall = ''
-    export unwrapped_clang_uml="$out/bin/clang-uml"
-    
-    # inject clang and unwrap_clang_uml variables into wrapper
-    substituteAll ${./wrapper} $out/bin/clang-uml-wrapped
-    chmod +x $out/bin/clang-uml-wrapped
+    cp $out/bin/clang-uml $out/bin/clang-uml-unwrapped
+    rm $out/bin/clang-uml
+    export unwrapped_clang_uml="$out/bin/clang-uml-unwrapped"
+
+    # inject clang and unwrapp_clang_uml variables into wrapper
+    substituteAll ${./wrapper} $out/bin/clang-uml
+    chmod +x $out/bin/clang-uml
 
     installShellCompletion --bash $src/packaging/autocomplete/clang-uml
     installShellCompletion --zsh $src/packaging/autocomplete/_clang-uml