Armature modifier deforming mesh slightly Whenever I add a Armature modifier to my models, the mesh for the arm and legs shift, but just a little bit.

When I uncheck the Bind to vertex groups box, it restores to it's normal position but as soon as I check it again it shifts.

Not binded: 


Binded:


I know there's barely a difference but I've worked too hard on this model to and I can't let there be a mistake like this. The mesh for sure shifts every time I check vertex groups on.
In blender 2.8+ there is a new Save as Shape Key which keeps the modifier in the stack and allows you to config the shape key to have the power of -1.