A source with knowledge of the situation told ESPN.com that a Newark Star-Ledger report that Chad Pennington had won New York's starting quarterback job was incorrect.
The source told ESPN.com that no decision has been made yet about who would start against Tennessee in the season opener.
Mangini told reporters Wednesday that he will continue with the four-man rotation during training camp.
"I can just tell you as the head coach of this football team what I told everyone in here is the same -- the rotation will continue and there is no change on that situation," Mangini said.
"I have not made up my mind yet. As soon as I make up my mind and name a starter I will definitely let you know," he said.
Although it's been pretty clear that Pennington has looked consistently better than the other three in practice, Mangini said that the competition will keep going until he sees what he wants.
"I'm looking for a person to step up and show that they should be the starter," Mangini said. "It's a consistent theme, but it's something I really believe in. Someone has to win that spot. As soon as someone does, then that's the point where we'll make a decision. Until then, it's going to be open."
Asked specifically about Pennington, Mangini said, "Chad has made progress. He's done some good things. But you see it each day, where he'll hit a big play and then it comes back.
"Or Kellen makes a great throw and then an interception. I'm looking for consistency and I'm looking for someone to distinguish himself. I can't say that enough," he said.
The Jets' first preseason game is next Friday against Tampa Bay. Surely, Mangini wants to see his quarterbacks compete in game conditions before making a final decision on a starter.
When asked about the situation, Pennington said the only change he was aware of was the practice schedule, moved from 2 p.m. to 5:45 p.m. to avoid the heat Wednesday.
"Everything is the same," Pennington said. "I don't know where I am as far as the other quarterbacks are concerned and I don't know when [Mangini] will make the decision."
Ramsey, acquired in the offseason in a trade from Washington, also said he knew of no decision being made.
"From my understanding, nothing has changed," Ramsey said. "We're going to continue the same way we've been doing things. I went into this camp expecting what the coaches have told us, and that's that this is a competition. It's been very evenly split up throughout camp."
Clemens, a rookie second-round pick out of Oregon, has the strongest arm of the bunch. Bollinger started when Pennington went down last season, but had a remote chance of winning the job.
After getting a $64 million deal as the franchise quarterback in 2004, nothing has gone right for Pennington. Once hailed as the face of the franchise, this could be his final season in a Jets uniform if he fails to win the starting job.
He initially tore his right rotator cuff during the 2004 season but played through it and ended up having surgery in early 2005. But it is now apparent the Jets rushed him back so he could be ready for the start of last season. He only had six months between his surgery and the start of camp.
Pennington hurt his rotator cuff again in the third week of the season, and questions were asked about his durability.
Still, the seven-year veteran restructured his contract in the offseason to make it more salary cap-friendly in the hopes of getting his job back.
Information from The Associated Press was used in this report.