Head coach Bruce Arians told reporters Godwin wasn't showing any symptoms Tuesday and that the Bucs are putting him in the protocol now to be "very, very cautious."
Injuries were a problem for Tampa Bay's pass-catchers in 2019, with Mike Evans and O.J. Howard also sitting out five games combined.
The hamstring injury for Godwin was the only speed bump in his breakout season. The third-year receiver moved into the starting lineup in 2019 under Arians and rewarded that faith by setting career highs with 86 receptions, 1,333 yards and nine touchdowns.
Expectations have changed dramatically for the Bucs this season thanks to the signing of Tom Brady as their new starting quarterback. Godwin and Mike Evans have the potential to be Brady's best receiving tandem since Randy Moss and Wes Welker in 2007.
The Bucs will likely rely on Justin Watson and Tyler Johnson until Godwin is able to return.