Jimmy Fallon My Jager-Bombed Hand Is All Good

10/26/2015 6:47 AM PDT

Jimmy Fallon's going to run out of fingers to injure at this pace ... but he doesn't seem the least bit rattled after cutting his right hand on a shattered bottle of booze. 

Jimmy posted a shot of the his bandaged right index finger, saying ... "Nothing that a few band aids couldn't fix." 

TMZ broke the story ... Jimmy was partying with the Harvard Lampoon crew Saturday night, and carrying a bottle of Jägermeister, when he tripped over someone. It sounded bad, but Jimmy seems unfazed ... especially when compared to his more horrific left hand injury.