[artist id="1397"]Paula Abdul[/artist], who announced via Twitter that she's [article id="1617611"]leaving "American Idol"[/article]

on Tuesday, talked about the situation with TMZ

at New York's John F. Kennedy Airport on Wednesday.

"It's been overwhelming, what's going on right now," she said, adding that any offers coming her way these days are being considered. "So I have to really carefully think about it."

One of those offers came from former "American Idol" executive producer Nigel Lythgoe to appear on his show, [article id="1617626"]"So You Think You Can Dance."[/article] He told "Access Hollywood,", "I'll ask her to come on the show... possibly as a performer and as a dancer." He also told TVGuide.com that now that she's free of her "Idol" duties "she's got no excuse" but to come on his show as well.

But if the offer is on the table, Abdul said she wasn't aware of it. "I didn't know I was being given an offer," she said. "I love the show. It's a wonderful show, [but] I don't know."

Until she actually figures out what the next step in her career is, Abdul did share that there are a few very important things she'll miss most now that her time is over with the show after eight seasons. "My compadres, of course," she said. "I love the kids, and that's the thing I enjoy, but they all reached out and called me."

Apparently, the kids aren't the only ones who are missing Abdul these days. "[Simon and I talk] all the time," she said. "He misses me already."

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