Hey bros, first time posting here so bare with me

I'm an attractive dude, don't really have a problem starting convos with ladies and keeping a good rapport going.

My biggest problem is my inner introvert. I'll be chatting a girl up and it's going great and suddenly I get this huge urge to just turn inward and kind of ignore her. It's no result that anything I say makes it die down, but like my drive instantly disappears to keep the game going. After a certain point I just get kinda sick of. the kind of chatter that girls eat up

Any tips on dealing with this particular trait in a more graceful manner?