Wilson was among the players who reported for COVID-19 testing on Tuesday.
The reserve/COVID-19 list has been created for a player who either tests positive for COVID-19 or has been quarantined after having been in close contact with an infected person or persons. If a player falls into either of these categories, his club is required to immediately place the player on the reserve/COVID-19 list.
Clubs are not permitted to comment on a player's medical status other than referring to the roster status and may not disclose whether the player is in quarantine or is positive for COVID-19.
San Francisco also announced two other moves. The team released offensive lineman Leonard Wester and waived defensive lineman Alex Barrett.
The moves get the 49ers below the 80-man roster requirement that must be met before August 16.