Hal Steinbrenner said there is "a lot riding" on the final three games of the regular season.
"Are jobs riding on this? Not that I know of," Steinbrenner told a small group of reporters in a Stadium hallway before Monday night's game, according to MLB.com.
He left himself some wiggle room.
"Jobs are not riding on this," he added. "But that's not something I'm concerned about right now. We look at everything in the offseason, as we always do."
Cashman's contract runs through 2014 and he isn't in any danger of losing his job. Girardi, signed through 2013, would have more exposure with a quick postseason exit in which the team did not play well.
And the managing general partner, who rarely speaks with the media, said expectations are that they do.
"There's a lot we expect of them and there's a lot riding on this and a lot riding on doing well," Steinbrenner said.
He repeated what he said during spring training: His mandate to Cashman remains getting the payroll, now in the range of $200 million, to $189 million by 2014 to avoid a stiff luxury-tax penalty.
"I've made it clear that it's very important to me for several reasons," he said. "Again, you're talking about a 10-percent reduction in payroll. I don't see that as an outrageous concept. I never have."