Barajas, who was pulled one batter after hitting an RBI single in the Mets' 3-2 extra-inning loss on Saturday, said that he can move, but he didn't expect to try swinging a bat on Sunday.
Manager Jerry Manuel said that Barajas will be evaluated during Monday's off-day.
"He'll see someone tomorrow," Manuel said, "and we'll make a decision one way or the other how long he'll be [out]."
Barajas is the third Met to deal with oblique issues this season. Jose Reyes battled through a right oblique injury earlier this month, an injury that caused him to miss the All-Star Game, and Angel Pagan also recently dealt with a troublesome oblique.
Though it's impossible for such an injury to travel from one player to the next, Manuel said that the Mets' training staff would investigate to see if there is a root to the problem.
"I know our trainers. Any time we have one or two guys with the same thing, they seem to try to go back and see if there's anything that we're doing that's causing it," Manuel said.
Josh Thole started Sunday's game in place of Barajas, and Manuel said that a roster replacement would likely be an infielder if Barajas ends up on the disabled list.