If a hiring department takes issue with a 2 month gap in a resume, I'd be worried about what that says about working for that company and whatever other ridiculous things they believe.
A 2 month gap is nothing. Like, maybe an extended holiday or a quick refresh between jobs. If I leave a job, take a few weeks for myself, then start handing out resumes at that point... It could easily be 2 months before an interview is lined up somewhere.
I personally don't think any length of gap in a resume is the business of a hiring department. There are hundreds of legitimate reasons that someone took a few months or even a year or two off (e.g. extended travel, children, caretaking of someone sick/elderly/whatever, etc.). In a lot of cases, the reason for the gap might be super personal (health, death of family, etc.) and really not anyone else's concern. And I'd rather not work at a place where they think a 2 month gap is something they need to worry about -- if I can do the job, I can do the job regardless of my employment status 2 months ago.