A torn ACL forced Rivera to miss the majority of the 2012 season, and he said it wasn't easy not being able to compete and be around his teammates.
Rivera believes the best thing Jeter can do is take care of himself and not rush a return to the field.
"He has to be selfish and think about himself for once," Rivera said. "Think about what you have to do to get ready. Forget about what I can do for the team, he can't do [anything] for the team right now. What he can do for the team is make sure [he is] 100 percent mentally and physically, and then you are ready to help the team."
Rivera said he spoke to Jeter about two weeks ago to check in on him, and the captain told him things were going well. He hasn't talked to Jeter since the latest incident, but he is hoping to get in touch with him soon.
Manager Joe Girardi reached out to Jeter on Friday but didn't have any luck getting through. Girardi wanted to stress that Jeter was cleared to play at the beginning of March, so he wasn't rushed back, and that he doesn't think this latest setback will finish him.
In fact, Girardi believes the 38-year-old still has plenty of good baseball left in him.
"I really believe that, when he's healed, he's going to be a good player for us," the skipper said. "It's just a matter of when, is what we have to deal with. I think once he heals up and we get him back, he'll play at a high level. But the question now is, when is it going to be?"
The last game Jeter played was Game 1 of last season's American League Championship Series, during which he was forced to exit in the 12th inning after fracturing his ankle on a play at short. The Yankees' closer said that is not a lasting image Jeter wants people to have.
"Knowing him, that's the last thing he would want people to remember," Rivera said. "As a player, and the type of player that he is, sometimes we push a little bit farther than we need to push. But that's our nature."
What Rivera misses most about Jeter, besides his ability to help the club win, is his presence in the clubhouse. The Yankees, Rivera said, are missing their captain, one who leads by example.
"He doesn't need to say much," Rivera said about Jeter's leadership qualities. "He will say something when he needs to say it, but most of the time it's by example. Being there, playing hard, respecting the game, be there for your teammates, all that -- that's what is missed."
Jeter is one of many Yankees stars who have yet to play this season, a list that also features Curtis Granderson, Mark Teixeira and Alex Rodriguez. But Rivera said that's no excuse for New York not to compete.
"We can't sit and wait for Derek and the others to come back," he said. "We still have to do the job that we need to do.
"We will be praying and hoping that he recovers soon."