Low in-major GPA vs. higher overall

My current undergraduate overall GPA is a 3.4, but my in-major gpa is a 2.8. That said, I’m taking chemical engineering, which is a hard major to begin with, and over the next couple years I’ll probably get the in-major up to a 3.2 and overall up to a 3.6.

I know that if I were applying for a master’s in Chemical engineering this would work strongly against me, but do MBA schools care as much about the difference between in-major/overall GPA?