Detroit coach Mike Babcock announced the moves before Friday's game against Nashville.
Williams hasn't played since breaking his right leg Nov. 7 at Toronto. He had two goals and seven points in 15 games before being injured.
Abdelkader had three goals and six points in 50 games this season. Babcock said he will benefit from playing for the Grand Rapids Griffins in the American Hockey League instead getting limited ice time for the Red Wings.