Desmond crosses paths with Hurley & Claire, Minkowski is his driver

At LAX, we see Desmond in a daze, staring at his reflection in the Oceanic flight status board. Hurley walks by him and says that the bags for 815 are at carousel 4 (one of the numbers).

At baggage claim, Desmond helps Claire with her bad since she is struggling to retrieve it. He asks her if she's having a boy or girl, and she reveals to him that she doesn't know. He offers Claire a ride but she tells him that someone is picking her up (as we know, that didn't happen). As she's walking away, Desmond tells her confidently that she's having a boy. He seems to remember this from the original timeline.

As Desmond walks further, he approaches none other than George Minkowski, who introduces himself as his driver. Desmond reveals that he wants to go straight to the office and that he was in Sydney closing a deal for the boss (Charles Widmore). Minkowski tells Desmond that if he needs anything while he's there, just let him know (it's a bit like Matthew Abbadon's offer to Locke in the season 5 episode "The Life and Death of Jeremy Bentham"). Then Minkowski awkwardly offers to get Desmond a prostitute, which he quickly turns down.