Garcia tossed fastballs and sliders in a bullpen session on Tuesday in Kansas City, but the test is his splitter, which has been a huge pitch for the veteran and was rendered inactive by a kitchen mishap last week.
"If he throws his split tomorrow, then we'll make a day where we can slot him in," Yankees manager Joe Girardi said. "If it's not Saturday, then we'll shoot for Sunday."
Girardi said that if Garcia is unable to make a start this turn, the Yankees would probably place him on the disabled list retroactively.
The Yankees have not announced their final two starters for their upcoming series against the Twins. CC Sabathia gets the starting nod on Thursday, and Phil Hughes is set to go on Friday.