Despite the success that he enjoyed on the field, Tampa Bay Buccaneers offensive coordinator Joe Gibbs was the only NFL coach that visited Williams to work him out and scout him. Gibbs spent two days with the , quarterback, reviewing play books, film, and going through passing drills. Impressed by his poise, work ethic, and studious nature, Gibbs rated Williams as the best quarterback in the draft, writing in his scouting report that Williams had “a big-time arm with perfect passing mechanics” and was “a natural leader...very academic and extremely prepared...football smart,” and recommended that the Buccaneers select Williams with their first-round draft choice.