On August 9, 2020, Fulgham was waived by the Lions.
On August 10, 2020, Fulgham was claimed off waivers by the Green Bay Packers. He was waived on August 19, 2020.
Fulgham was claimed off waivers by the Philadelphia Eagles on August 20, 2020. He was waived on September 3, 2020, but was re-signed to the practice squad three days later. He was promoted to the active roster on October 3, 2020. Fulgham caught his first pass in the NFL and later caught another pass for his first career touchdown the following day, in a Sunday Night Football game against the San Francisco 49ers, on a 42-yard pass from Carson Wentz. The following week, Fulgham caught ten passes for 152 yards and a touchdown in a 38–29 loss to the Pittsburgh Steelers. He became the 11th player in Eagles history with at least ten catches and 150 or more yards in a game, and his 152 yards are the most for an Eagle in one of their first five games. The next week in a showdown with the Baltimore Ravens, Fulgham posted 6 receptions for 75 yards and a touchdown that put the Eagles in position to tie the game late in the fourth quarter with a successful two-point conversion. In Week 8 against the Dallas Cowboys, Fulgham had 6 receptions for 78 yards and a touchdown in the 23-9 win.