Texture on multires modifier is off

Hi there

I’m pretty new to 3D CG and blender and I really need some help with a weird problem.

I’m doing a tutorial on creating a humanoid head. So far I got a mesh with relatively low poly and sculpted details on a multires modifier. At the moment I’m texturing the head and noticed that my texture is a little bit off on the multires:

Low Poly mesh. The texture is where its intended to be:

Multires Modifier. The texture is a bit off on the Y-Axis. Wich makes it difficult to use texture-paint:

Multires modifier applied. Here the texture is ok again:

Since I dont want to apply the multires modifier - or at least not just yet. Is there a way to make sure the texture is placed ocrrectly on the modifier?

Is there another workaround than making a copy of the mesh, applying the modifier on the copy, finishicg the texture and deleteing the copy again?