McGruder averaged 7.6 points, 3.6 rebounds and 1.7 assists in 66 games for the Miami Heat this season. He had been with Miami for three seasons.
The 6-foot-4, 200-pounder previously played two seasons in the G League with the Maine Red Claws and Sioux Falls Skyforce. McGruder played four seasons at Kansas State.
The Clippers announced the move Tuesday, two days after they waived forward Luc Mbah a Moute. He only played four games this season because of a sore left knee that required surgery late last month.
Mbah a Moute, an 11-year veteran, has career averages of 6.4 points and 4.1 rebounds.