Typically, such injuries occur on check swings.
"That was a full Big Papi swing," Ortiz said. "Just when I swung, pop. Have you ever seen that before?"
Bench coach Brad Mills, who took over managerial duties on Sunday so that Terry Francona could attend daughter Leah's high school graduation, said that the tests are a precaution.
"We'll get him looked at, and we'll go from there and see what happens," said Mills.
Ortiz suffered serious injuries to his right wrist while with the Twins in 1998 and 2001, but has never had a left wrist injury.
Just as Ortiz was forced out of the lineup, right fielder J.D. Drew -- who missed two games with vertigo -- was back in. Drew batted seventh on Sunday against Orioles lefty Brian Burres and hit a home run in the victory.
"About halfway through the game last night, he was sitting on the bench and I went down and talked to him and asked him how he felt," said Mills. "He said he felt fine, he felt great. He said, 'I'm ready to do anything, I'm 100 percent, I'm ready to go.'"
With Ortiz out of the mix, Kevin Youkilis batted third. Manny Ramirez, fresh off home run No. 500, served as the designated hitter and went deep again. Jeff Bailey, who was promoted from the Minor Leagues to fill the roster spot vacated by the injured Daisuke Matsuzaka, got the start in left field. Bailey drew three walks.
It was Bailey's first Major League appearance in the outfield. He played three games at first base for the Sox last season.
Ian Browne is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.