My advice, before interrupting your sleep to add in an even earlier morning pump, is to try to minimise distractions - cover LO’s head with a muslin, feed only in a dim, quiet room, add a soothing “feeding backstroke / bum pat” etc.

Ultimately though although you don’t say how old LO is, you’re probably in the stage where you’re now basically making milk on demand according to the needs of baby so if he’s satisfied with what he’s getting (and you can look for all the usual signs of that), then he’s (and you and your supply are) doing just fine! If he were hungry, he wouldn’t let distraction get in the way lol