Rodriguez (strained right quadriceps) ran in the outfield before New York's game against the Cleveland Indians on Wednesday night. The third baseman also played catch, fielded grounders and took batting practice.
Rodriguez, a three-time AL MVP, is expected to continue with a similar routine over the next few days before possibly playing in extended spring games Monday and Tuesday in Tampa.
"He said it feels great right now," manager Joe Girardi said before Rodriguez did his pregame drills. "But it's a different beast when you have to run so we're going to have to see how it feels when he runs."
The Yankees begin a four-game series at Tampa Bay on Monday and Rodriguez is eligible to come off the DL next Wednesday.
Girardi also said Posada could take batting practice on Friday. The catcher went on the disabled list April 28 with right rotator cuff tendinitis.
Hughes has a stress fracture in one of his ribs, and the right-hander isn't expected back before July.
In other news, Girardi said the team hasn't heard anything about Kyle Farnsworth's appeal of his three-game suspension. The reliever was suspended for throwing a fastball behind the neck of Red Sox slugger Manny Ramirez last month, and had a hearing Tuesday.