Bourne tested positive for COVID-19 last Wednesday, but was later activated from the list.
Bourne, 25, signed with the 49ers as an undrafted free agent out of Eastern Washington in 2017. He signed a three-year, $1.66 million deal and made the final roster each of the past three seasons.
The 49ers placed a second-round tender on Bourne as a restricted free agent at $3.27 million for the 2020 season. Bourne will be an unrestricted free agent following the 2020 season.
In 2020, Bourne has appeared in eight games for the 49ers and caught 25 passes for 352 yards receiving and one touchdown.