Jeter will be eligible to return July 27. Jeter told the team he felt better, but an MRI on Thursday revealed the strain was still present.
"I don't think they trust me too much anymore, so they put me in the MRI machine again and, like I've told you before, I can't fake out the tests," Jeter said. "They had to take that MRI to prove to them I was ready and I wasn't."
While Jeter thought he could return July 27, it is unclear if he will. He has not gone full-out since the injury occurred a little more than a week ago.
"I haven't run," Jeter said. "Obviously, that is the next step. I was hoping I'd be able to do that today, but unfortunately, I'm on the disabled list. I get it. You have to come here, you don't want the team playing short."
Yankees general manager Brian Cashman said the team had anticipated Jeter would go on the disabled list, but had hoped that with the week off, including the All-Star break, the quad would heal quickly. Cashman was uncertain if Jeter would need to go back on a minor league rehab assignment or if he would be able to even play in games by July 27. Cashman said the MRI showed "minimal healing."
"I wouldn't be surprised if he is not ready by Saturday of next week," Cashman said. "I think he'll be surprised if he isn't ready by Saturday of next week. We'll see. It is a Grade 1 and this stuff takes time and there is a progression to it. It is really hard to handicap."
The Yankees called up Brent Lillibridge, who was in the lineup Friday at third.
Jeter was injured in his return to the lineup on July 11 against the Kansas City Royals, after missing the first 91 games of the season because of his twice-fractured left ankle. He went 1-for-4 but suffered the Grade 1 quad strain while running out a grounder.
"You hear people say, 'You came back too soon.' I don't think that was the case," Jeter said. "I was ready to come back. I came back. I was running fine and this happened. This happens to guys that go through full spring trainings."
Jeter said when he returns he said that he will still play as hard as always, but he has to play under "control."
"If you hit a one-hopper to the first baseman and he is 2 feet from first base, you don't run as hard as you can," Jeter said. "You run under control, but I've done that in the past."
Eduardo Nunez will continue as the Yankees' main replacement at short.
Teixeira returned June 1 before having season-ending surgery. Granderson broke his forearm in his first at-bat in spring training, and was hit again after eight games back. Cervelli developed a stress reaction and is shut down for now.
Granderson resumed taking on-field batting practice at the Yankees' minor league complex in Tampa, Fla., on Tuesday and said he is "working on repetition" with his swing. Team officials have said Granderson could be back early next month.
Infielder Jayson Nix, sidelined by a strained right hamstring, got six at-bats in a simulated game in Tampa. He's started 40 games at shortstop and 24 games at third base this season for the Yankees. Nix is going to go on a minor league rehab assignment next week, Cashman said.
Alex Rodriguez is playing with Scranton/Wilkes-Barre on Friday, likely the final stop in his rehabilitation from left hip surgery before he returns to the Yankees, possibly on Monday.
Cashman said that Rodriguez will DH Sunday for the RailRiders. If all goes well, he will be either the third baseman or DH for the Yankees on Monday in Texas, or will be given an extra day's rest before making his 2013 debut on Tuesday.
The Yankees enter Friday in fourth place in the AL East, six games behind the Boston Red Sox. The teams began a three-game series Friday night at Fenway Park.
Information from The Associated Press was used in this report.