Once Anakin was down and flashing about, Han started watching for his moment to mosey over to an airlock. You had to time a move like that properly, or it attracted a whole lot of attention you didn't need.

The initial message comes through when he's made it onto the ship, but not in a position for a chat. He clicks the commlink in acknowledgement, but waits a few minutes until he's in better cover. "In position now. Down the starboard corridor from your position." At least that was the impression he'd gotten from the specifications he had admittedly not had much time to familiarize himself with.