With starter Baker Mayfield and backup Case Keenum both testing positive for the virus, the Browns were down at quarterback to just Nick Mullens heading into Saturday's game against the Las Vegas Raiders.
Mullens had remained on the practice squad all season until he was elevated to the active roster Thursday. Lauletta, who was with the Browns during training camp, most recently was on the Jacksonville Jaguars practice squad.
The Browns roster has been ravaged by COVID-19 this week. Defensive end Jadeveon Clowney and linebackers Mack Wilson and Tony Fields II were the latest to test positive for the virus on Friday morning, sources told ESPN.
Starting running back Kareem Hunt was added to the reserve/COVID-19 list on Friday, while starting linebacker Anthony Walker was activated off the list. Assistant coach TC McCartney was found to have tested positive on Friday.
Cleveland currently has at least 24 players -- 12 starters, including the punter -- who either tested positive for COVID-19 this week or were still on the reserve/COVID-19 list from last week.
The NFL on Thursday did relax the testing requirements to clear vaccinated personnel, potentially positioning players on the list for a faster return.
The league has said it has not discussed moving the Raiders-Browns game to another day.