He arrived at McCoy Stadium at 10 a.m. ET and was unable to take batting practice.
"I talked to the trainer [Jon Jochim], and he told me David was sick," PawSox manager Gary DiSarcina said after Pawtucket beat the Red Wings, 5-2, on Mitch Maier's three-run, 11th-inning homer. "When he comes to play, we hope to get him at least four at-bats [per game].
"Actually, I'm pleased with the way he's hit the ball so far."
Because Ortiz was scheduled to get between 25 and 30 at-bats during his rehab with Pawtucket, the fact he was unable to play Sunday may ensure that he'll remain here until the homestand ends on Thursday afternoon.
Ortiz, who's been on Boston's disabled list with an Achilles tendon injury, hit .429 (3-for-7) with two runs, three RBIs and two strikeouts in the two games he's played.
"David's a professional ... it's up to him to dictate what he wants to do," DiSarcina said. "Our job is to get him ready to go up and help the big club. If that means he needs more at-bats, he'll get more at-bats."
Barring another setback, Ortiz will play on Monday when Pawtucket hosts the Lehigh Valley Iron Pigs in a 6:15 p.m. ET game.
"We're hoping he'll be able to play [on Monday]," DiSarcina said. "But, again, David dictates what he wants to do. Hopefully, [not playing on Sunday] won't set him back too much."
Mike Scandura is a contributor to MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.