I have edited my post above to respond "I."
When I originally read the dialog, I understood that he was going to have a drink and talk with her ("catch up" on things).
I realize now that, considering she is a dancer and he probably a customer, it's more likely that he just means he needs to catch up on drinks, not news!
However, he could also mean that she needs to catch up--if they also the dancers to drink.
I'm not sure that there's enough context to know for sure.
Please tell us what happens right after that exchange.
Does the dancer sit down with him and talk?
Does the dancer drink? Has she been drinking?