Osi Umenyiora wants to stay with the Giants. But he knows he might not get what he wants and, if it doesn't work out, he could trade blue for green, as he says the Jets "might be a good fit.''

Umenyiora admitted Thursday he has gone "back and forth'' with his public comments about his future but sounded emphatic when he stated: "It would be my preference to definitely come back and finish my career with the New York Giants.''

But, nothing is guaranteed and Umenyiora has to consider other teams that will have him. He mentioned two of them, the Jets and the Falcons (Umenyiora's home is in Atlanta), as possible destinations.

"There's a couple of teams my agent told me he will be contacting at a later time,'' Umenyiora told The Post during an appearance on behalf of MetLife, helping to promote Super Bowl XLVIII at MetLife Stadium. "I maintained to him my preference is to return to the Giants.''

When asked if the pass-rush-starved Jets are one of the teams on his immediate list, Umenyiora said: "Rex Ryan, when I was coming out of college, he was with Baltimore at the time, and he came down to work me out at Troy. He came to Atlanta, just me and him. We had a pretty good time out there so I've always enjoyed him as a coach and as a person. That might be a good fit.

"Hopefully it will be with the Giants.''

Umenyiora lives in Atlanta and the Falcons are a Super Bowl contender in need of someone who can get to the quarterback. Asked if the Falcons would be a good guess, he said "That's one of the teams that might be interested.''

After 10 years with the Giants, Umenyiora has gone round and round with his desire to get a new contract or get out of town. Following this season, he said he felt there was a "high probability'' he had played his last game with the Giants.