Davis' mother Ginger relayed the news to Scout.com on Wednesday. Davis was scheduled to meet with Florida Wednesday evening, but that in-home visit was cancelled.
Davis took his official visit to Alabama this past weekend.
"Coach [Anthony] Grant is an outstanding person with a vision that Jackson would allow him to grow as basketball player," Ginger said. "The opportunity to play in the SEC would be huge honor. Coach [John] Brannen brings familiarity in a place far from home. He is from Kentucky and is a kindred spirit."
Butler received an official visit from Davis in late March. Brandon Miller met with Davis and his family Tuesday evening.
"Coach Miller and Coach [Chris] Holtmann are both convinced that Jackson has a high ceiling and could be a factor for them four years," she said. The Butler fans have gone above and beyond to express their hopefulness that he would come to Indianapolis."
Davis originally signed with Rice, but decommitted late in the season. New coach Mike Rhoades threw his hat back in the ring this week and had an in-home visit on Monday.
Coach [Mike] Rhoades decision to keep Adam Gierlach on staff and to bring in Carlin Hartman, both of whom Jackson had existing relationships, will make it hard to say no to them," Davis said. "Jackson was impressed by the direction Coach Rhoades is taking the program and feels that Rice will be an impact team sooner rather than later."
Davis is planning to hash out a final decision by the end of the week, according to his mother.