probably.
most time i fly, they dont bother to check
also, many of the airlines are buying new plans, or refitting old planes with larger overhead bins, so thos dimensions may not matter much over the next few years
but as long as the bag is not obviously large, and is not bulging an extra 8 inches out the front, because you realized to forgot to packs all your socks in you suitcase, you should* be fine
*but nothing is certain in life