Manziel is one of at least four quarterbacks the Bucs have hosted for pre-draft visits. The source did not disclose how short the team's list is for its first pick.
The Bucs hold the seventh overall selection and might have to trade up to land Manziel, the former Texas A&M star. Manziel recently was tabbed as the No. 4 overall pick to the Cleveland Browns in ESPN NFL draft expert Mel Kiper's latest mock.
Manziel is viewed as a likely first-round pick by many draft experts, and the Bucs aren't loaded at quarterback.
Tampa Bay signed veteran Josh McCown in the offseason and has Mike Glennon, who started 13 games last season. The Bucs have opened minicamp with McCown taking the first-team repetitions at quarterback, while Glennon has been working with the second team.
McCown played for new Bucs coach Lovie Smith in Chicago. Upon signing McCown, Smith said it still was possible the Bucs could use their first pick on a quarterback.
ESPN.com Buccaneers reporter Pat Yasinskas contributed to this report.