With this cooler be sufficient enough for this CPU?

Unless you already have purchased a socket 1151 mainboard, and /or get a terrific deal on a 7600K, I'd either make the jump to a 7700K, or, get an R5/1600-B350 combo instead....; the latter is similarly priced, and it's extra 2 cores/4 threads might make a difference in gaming longevity 2-3 years from n ow...