The Bucks are hopeful that Henson will return for the playoffs, league sources told ESPN, if not sooner.
Henson was hurt during the Bucks' Nov. 6 game against the Portland Trail Blazers.
The team announced on Nov. 16 that he would need surgery.
Through 14 games this season, Henson -- who comes off the bench -- has averaged 5.6 points, 5.1 rebounds and one assist.
ESPN's Malika Andrews contributed to this report.