Jeter, 39, will DH for Triple-A Scranton/Wilkes-Barre Sunday, and the team has not ruled out bringing him back before the All-Star Break.
Saturday was Jeter's first rehab game since breaking his ankle, and was a major step toward him getting back to the Bronx.
Jeter did not give any specific number of at-bats or games that he would need to be ready to play for the Yankees, but he did say that he had had roughly 50 simulated at-bats prior to his rehab assignment.
Jeter's rehab comes at the same time as the rehab of third baseman Alex Rodriguez, who has been playing in the lower minors while trying to get back in game shape.
With Jeter out, the Yankees have been using options such as Eduardo Nunez, Jayson Nix and Alberto Gonzalez at shortstop. Nunez is batting .217 with a .588 OPS in 2013 and Gonzalez has just six hits in 29 at-bats for the Yankees over nine games. Nix, who started 40 games at shortstop, was hitting .236 before going on the DL last week.