Originally Posted by
thanhlqgt
You won't have an I-94 if you were admitted as a green card holder. You can still find your record under Travel history.
Thanks! I was getting a bit worried with the lack of update.
So this is interesting, it seems that to answer my original question, if you are on a visa (at least an L1), and get a green card, there's nothing for you to do when it comes to updating documents for global entry.