Ortiz originally believed he would be out about a week, but manager Bobby Valentine said Wednesday that Ortiz would go on the DL and that the Red Sox would recall corner infielder Mauro Gomez from Triple-A Pawtucket.
Valentine said Tuesday that he plans to use multiple players as his DH with Ortiz out.
"We can rotate guys through if we want," Valentine said. "I don't see one person sticking out as someone we're going to put there and say, 'He's replacing David Ortiz as the designated hitter.' You don't do that. I think we'll get some combinations of people who will help us score runs."
On Tuesday, Daniel Nava assumed that role and batted third. He went 0-for-3 in the 7-5 loss to the White Sox.
"Well, I thought getting someone who is a credible hitter and just slotting him into the No. 3 spot is the least disruptive," Valentine said.
It's unlikely anyone with the Red Sox will be able to match Ortiz's production. The slugger leads the club with a .316 average, 23 home runs, 58 RBIs, 101 hits and a .414 on-base percentage. Still, it's not Boston's first time dealing with an injury to a key player.
The Red Sox played short-handed with Dustin Pedroia nursing a thumb injury for six games from May 29-June 3 and went 4-2. The club has also played without outfielders Jacoby Ellsbury and Carl Crawford for the majority of the year, though both have returned since the All-Star break.
"We have weathered the storm, I don't think the players are affected by it at all and I just deal with it as though someone came out of the game in the first inning with a hamstring or something," Valentine said of playing with a short roster.
Ortiz will do his part to help from the bench, too.
"Act like a cheerleader," he said. "There's not too much I can do about it right now. Just stick around and make sure everybody is in the right place at the right time."