Tucker, who was named the Big 12 player of the year, led the Longhorns (30-7) to the Elite Eight and a share of the Big 12 regular-season le with Kansas. The 6-foot-5 Tucker led the Longhorns in scoring at 16.1 points and 9.5 boards a game.
Tucker said he has worked out at Cleveland and will have more workouts scheduled in the coming weeks.
He said he has been told he is projected as a late first-round pick with the chance to move up or even down if he doesn't perform well.
"Obviously I haven't taken too many long-range shots in college so I've got to do that to show them I can be a consistent shooter,'' said Tucker, who was versatile with Texas but did most of his scoring in the lane.