Will slightly oversized bag be a problem on the return flight?

So I'm flying Japan Airlines to Tokyo, and their baggage restrictions are 203cm (approx 80 in). I'm totally good with that. Then when I return, I'll hit customs in Chicago and switch from Japan Airlines to American Airlines. Their checked bag restriction is tighter -- 62 linear inches.

My bag is 63.5 linear inches. I'm guessing my odds of going unnoticed are pretty good, even though the bag bulges a bit in the front (I have a coat in there). However, in my previous flying experience, reclaiming a bag (in Chicago, in this case) is more of a grab-and-hand-off rather than a true check in, so my bag probably won't cause a problem, right?

I don't have a luggage scale at home, but I do believe I'm good with the weight limit. If not, I'll repack at the counter. I'd only have to move a thing or two. What do you think?