Jennifer Lopez and Drake All Hugged Up for Nobu Date

Drake and Jennifer Lopez took their relationship to the next level with a dinner date in Malibu Thursday night -- but it's debatable about whether it's a romantic move.

The new couple was surrounded by their combined entourages outside Nobu, and they were arm-in-arm as they cruised into the restaurant. They definitely look cozy together, but is it a "we're banging" ... or a "we are family" kinda cozy?

Check out the pics and decide for yourself.