Kicker Cody Parkey and long snapper Charley Hughlett were also placed on the list.
Those three players join Chris Hubbard and Andy Janovich on the list.
Per NFL rules, the reserve/COVID-19 list is for players who either test positive for the virus or are deemed to have been in close contact with someone who tested positive.
In a league-wide memo issued last month (h/t NFL Network's Tom Pelissero), players identified as high-risk close contacts to someone who tested positive must sit out five days since their last contact with the person. They will be eligible to return on the sixth day as long as their COVID-19 tests return negative.
The Browns are scheduled to host the Philadelphia Eagles at FirstEnergy Stadium on Sunday.