But Girardi acknowledges that's going to be difficult, given that his veteran shortstop has always been known for his hustle.
"Well, the last time I checked, they don't give me a bungee cord that I can attach to him when he's hitting," Girardi said Sunday, hours before Jeter's return from the disabled list. "So the only thing I can do is just continue to preach it to him.
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"I've told him once, and I'll tell him again when the game starts today, 'I know it's not in your DNA, but we're gonna have to find a way to run under control when it calls for it. But if there's a situation where you have to run hard, you're gonna have to run hard. But you have to protect your leg and your body for a few days and get through this.'"
Girardi didn't think about using Jeter as a designated hitter Sunday.
"We're going to National League cities and we need him to play shortstop," Girardi said.
Girardi is happy the team captain is back. Jeter, 39, has played just one game this season because of a twice-fractured ankle, strained quadriceps and a strained calf.
"Just his presence is important to this club," Girardi said. "It's been important for such a long time. My hope is he gets through today and I get to put him in the lineup again on Tuesday. We weren't so lucky the last time."
PHELPS' PROGRESS: Yankees right-hander David Phelps, currently on the disabled list with a strained right forearm, will make his second rehab start for Double-A Trenton on Tuesday.
Phelps said he'll go five innings and throw 75 pitches in the start. He went 3 2/3 innings and allowed two runs in his first rehab start for Trenton on Tuesday.
Girardi said the team will evaluate Phelps after the start before activating him from the DL.
Phelps, who had been starting, might end up in the bullpen, given how well New York's rotation has performed of late.
"It's fine," Phelps said. "It's the same thing as starting. You just have to get guys out. I'm just trying to stay healthy and help the team whatever way I can."
NIX IS READY; GRANDY ALMOST THERE: Girardi said Nix (hamstring) is expected to be activated from the disabled list on Tuesday for the series in Los Angeles against the Dodgers. The manager doesn't think center fielder Curtis Granderson (pinkie) will be activated in L.A., but acknowledged it's possible that he'll be back for the San Diego Padres series Friday.
PHIL'S POISE: Girardi said right-hander Phil Hughes, Sunday's starter, has handled the possibility of being dealt at the trade deadline well.
"I know sometimes some people can get a little nervous around the trade deadline, but I have not seen that from him," Girardi said.
Hughes is 4-9 with a 4.33 ERA.
"Command of his fastball is extremely important [today], being able to pitch down in the zone is extremely important and mixing his other pitches in," Girardi said.