"We ... signed all the necessary documents that she needed to get done," he said. Spears, he added, is "in a good mood, no problems, very optimistic."

Monday a judge granted Federline physical custody of Sean Preston, 2, and Jayden James, 1, "until further order of the court." Lufti told PEOPLE that what led to the ruling was just a misunderstanding.

"Scheduling conflicts and errors in communication led her to believe that her deadline was later this week rather than [Monday]," Lufti said. "However, once we finally realized what was going on, we completed the list of tasks. ...So everything's looking good."