Rodriguez's left hand and Pettitte's left leg are scheduled to be examined, and manager Joe Girardi is hopeful he will hear that both players are progressing in their best-case scenarios.
"Basically, [we hope] they would be turned loose to do what they need to do -- that we can get Andy off a mound, that we can get Alex taking regular BP," Girardi said.
Girardi said that he has seen "significant progress" from both players this week, so he would not be surprised if Rodriguez and Pettitte are cleared to ramp up their activity.
Even when Rodriguez is cleared to begin taking batting practice, Girardi said the Yankees do not have a date in mind for his return.
"You just have to see how the hand responds," Girardi said, "how it responds every day to the vibration and how he feels. Right now, he feels good, but he's done tee-and-toss."