The 6-foot-11 Allen averaged 13.4 points, 8.4 rebounds and 1.5 blocks in his only season at Texas.
“I think my role will be as a rim protector, being athletic and guard guards on the pick and roll,” Allen said during an ESPN interview.
He shot 56 percent from the field with 25 games of 10 or more points and 14 games with 10 or more rebounds.
“It’s nice being drafted in my new city,” said Allen, who was one of a record-setting number of freshmen taken in the first round.
Allen had a monster game at Kansas with 22 points and 19 rebounds. He also scored 22 points at TCU.