AABB collision detection as a filter for SAT collision detection

Newbie & Debugging Questions
#1

I am currently attempting to implement basic collision detection and response in a 2D environment.

I have successfully implemented AABB collision detection, and SAT collision detection and response.

I was thinking about using the AABB check to see if SAT needs to be used in order to cut down on SAT calls.

Can anybody think of a reason why this will not work?

If so, please explain.

Thanks!