Barajas, who has been on the disabled list since June 19, has been taking batting practice, throwing and participating in other baseball activities.
"Right now, he seems to be either on track or right there -- right on it," Mattingly said. "It could be a couple of days, to make sure [he's ready]."
Dodgers shortstop Rafael Furcal (strained left oblique) continues to rehab with Class A Rancho Cucamonga. Furcal had four at-bats Monday night while leading off and playing shortstop. He finished 0-for-4 with two strikeouts.
Mattingly said he believed Furcal was scheduled for nine innings at shortstop Tuesday night, and would DH on Wednesday. Furcal still has no target date for his return.
"He's doing well," Mattingly said. "We want him to be ready."