Osabuohien will have two years of eligibility remaining.
Arkansas coach Eric Musselman dismissed Osabuohien from the Razorbacks last week without disclosing a reason.
"Gabe's a player who can come in and can make an immediate impact to our team defensively," Huggins said in a statement. "He's accustomed to a fast style of play pressing and running from his days at Arkansas. His athleticism and toughness will be an addition to the frontline as well as being a capable shooter to help spread the defense."
The 6-foot-8 Osabuohien played in 54 games with eight starts in two seasons with Arkansas. He averaged 2.4 points and 2.5 rebounds per game over his career.