If you are the one who filed, no need to call the court, you case supersedes his on this matter.
He can contest all he wants. They both of you have to be in it to make the marriage work.
Personally, I would try to get a split of assets or money if possible. It will give him something to think about if there are marital assets.
If nothing else, it will force him to negotiate. His assets for him to stop contesting.
FYI do not make this a negotiation for him to let you keep your greencard because that is not even up for debate.
If you get some money from him, at least you can use it to party on his dime.