Both players were recently outrighted to Triple-A Columbus, but they declined to accept the assignment.
Batista was a pleasant surprise off the bench for the Nats in 2007. He led Washington in pinch-hits (14) and pinch-hit RBIs (12). Last week, general manager Jim Bowden said he would like to have Batista back on the team.
"Tony knows we want him back here. He did a great job off the bench. We'll see how it plays out," Bowden said. "He knows this is a good fit for him. He liked playing for [manager] Manny Acta. He likes D.C. I hope that he comes back."
Jimenez got off to a slow start this past season, but finished with a .245 batting average and a .379 on-base percentage. Jimenez is considered shaky on defense.
Bill Ladson is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.