Katie Couric and Matt Lauer: Together Again?

04/27/2011 at 04:25 PM EDT

Katie Couric and Matt Lauer: Together Again?
Matt Lauer and Katie Couric in 2005
John Lamparski/WireImage
Is it co-host reunion time?

Now that Katie Couric has gone public to PEOPLE with her decision to leave CBS Evening News, speculation continues about the details of a possible syndicated show. So, could her former co-host Matt Lauer, whose contract at the Today show ends in 2012, join her in her next venture?

"Matt and I have undeniable chemistry in the most platonic sense of the word," Couric tells PEOPLE. "We are like an old, married couple. We finish each other's sentences. He is very committed to the Today show. But who knows?"

Lauer himself laughed off rumors of a departure from his longtime morning show gig during his appearance on Late Night with Jimmy Fallon Tuesday. "I love my job," Lauer said. "I have a long term contract. I'm not going anywhere."

Couric, 54, who says she is "excited about her future," isn't willing to discount any possibilities.

"You never know what the future may bring," she says. "We may work together. It's hard to say right now. We have a fun repartee."

For more from Couric's exclusive interview – including details of her life with longtime boyfriend Brooks Perlin and whether there may be wedding bells in her future – pick up PEOPLE, on newsstands Friday

Katie Couric: 'My Kids Keep Me Normal'

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