Jeter spent 30 minutes indoors at the Yankees' minor league complex on Friday. His final on-field session was canceled by rain.
The team captain is expected to start a two-game stint with Double-A Trenton Saturday night and rejoin the Yankees for a series in Cleveland on Monday. Yankees general manager Brian Cashman will be in town to watch his shortstop.
Jeter is six hits short of 3,000. A return next week could put him on track to reach the milestone at Yankee Stadium during a four-game series July 7-10 against Tampa Bay.
His bid to become the 28th major leaguer -- and first with the Yankees -- to get 3,000 hits has been on hold since he strained his right calf June 13 against the Indians.
Also, Yankees corner infielder Eric Chavez strained his back "a day or two ago," according to Cashman, and may not return on July 5, the first day he is eligible to come off the disabled list.
"He feels better, but I can't tell you July 5 is gonna happen," Cashman said Friday. "I can't tell you it won't, but I can give you (this) setback."
Chavez was placed on the DL on May 6 with a fractured fifth metatarsal in his left foot.
Also on the injury front: Right-handed reliever Rafael Soriano threw 32 fastballs during a bullpen session on Friday, according to Cashman, and, "if everything goes well between bullpens, batting practices and rehab assignments, the first series back from the All-Star break is when we'll get him back."
Soriano has been on the DL since May 14 with right elbow inflammation.
Information from ESPNNewYork.com's Mike Mazzeo and The Associated Press was used in this report.