Anderson was an honorable mention All-Conference USA selection last season.
He should help the Longhorns absorb the loss of All-American left tackle Connor Williams, who left Texas early to declare for the NFL draft.
Meanwhile, another Rice transfer has chosen Texas Tech.
Graduate transfer defensive end Preston Gordon announced Saturday that he has picked the Red Raiders.
Lubbock..⚫️🔴👆🏽 pic.twitter.com/SQqJokr2j5— Preston Gordon (@PrestonnnG99) March 11, 2018
Gordon, also a three-year starter for the Owls, had 34 tackles, including 4.5 for loss, last season. He will join a Red Raiders defense that returns 10 of 11 starters from last year.