Twitter says the company risks “irreparable harm” if the legal fight drags on.
Last week,Twitter sued Muskto force him to complete the purchase.
The company also urged a judge to speed up the legal process by holding a four-day trial in September.
Musk’s lawyers, though, want the trial to happen on Feb. 23 or later.
“Musk amplifies this harm by using the company’s own platform as a megaphone to disparage it.”
The company said the Delaware court has shown merger-enforcement disputes can be litigated in 60 to 75 business days.
Musk’s lawyer Mike Ringler didn’t immediately respond to a request for comment.