A 3-star wide receiver recruit, Watson committed to play college football for Penn over an offer from Bucknell.

[11] Watson caught his first career pass, a five-yard reception, on October 29, 2018, in a 37–34 loss to the Cincinnati Bengals.

[14] In Week 10 of the 2020 season against the Carolina Panthers, Watson recorded his first career sack on punter Joseph Charlton during a fake punt attempt during the 46–23 win.

[18] Watson and the Buccaneers later went on to win Super Bowl LV against the Kansas City Chiefs 31–9.

[19] On July 24, 2021, it was announced that Watson would be out four months after undergoing knee surgery, and was placed on the PUP list.

[30] The Chiefs won Super Bowl LVIII against the San Francisco 49ers 25–22 with Watson catching three passes for 54 yards.

[33] In Super Bowl LIX, Watson recorded a two-point conversion in the 40–22 loss to the Philadelphia Eagles.