"It's a big loss for our football team," McVay said. "He means a lot to us in a variety of different ways."
McVay said he did not anticipate that Brown's absence would affect Gurley.
"As far as changing anything with Todd's rhythm, he's kind of a feel player where he knows when he needs to [rest]," McVay said. "Last week I think he got his good conditioning in having to play as many snaps as he did, and it really won't change much as far as that approach is concerned."
"We have a lot of confidence in Justin and John to step up," McVay said. "And they'll be needed to do it in a hurry."
Davis has appeared in eight games this season on special teams. Kelly has been inactive through 13 weeks.
Brown, a third-year pro from Texas, rushed for 212 yards in 43 carries this season and caught five passes for 52 yards and a touchdown.
The Rams (11-1) earned a playoff berth with a division-clinching win over the Lions in Week 13, and can secure a first-round bye with a win over the Chicago Bears at Soldier Field on Sunday night.