"Have you heard any good rumors lately?" a teasing Lauer asked.
"No, have you?" Couric answered her former co-host with a laugh, refusing to take the bait and reveal whether she'll be leaving "CBS Evening News" when her contract expires in June.
Couric returned to the top-rated show, for only the second time since leaving in 2006, to talk about her new book, "The Best Advice I Ever Got: Lessons From Extraordinary Lives." She insisted she hasn't yet decided about her next career move.
"I'm not sure," she said. "I'm really excited about the future. I love doing my job at the 'CBS Evening News.' I really do, and I'm just in the middle of figuring it out. I just don't know, honestly."
Couric, who left "Today" after 15 years for CBS, said she's trying to determine "where would be the best place for me and what would be the best job for me."
With June drawing closer, Couric, 54, said she'd likely make a decision in the next few weeks. "It's important for everybody to kind of more forward," she said.
CBS News said it has no announcement to make and won't comment on rumors. "We're having ongoing discussions with Katie Couric," a spokesperson for CBS News said.
Remaining at CBS is an option, Couric said, and she's considering becoming the host of a syndicated talk show, reportedly with Lauer, whose "Today" contract expires at the end of next year.
Couric said such a show would give her the freedom to choose the subject matter while allowing her to showcase her outgoing persona.
"I think a smart conversation about a whole host of subjects would be really fun," she said, adding that her interests include politics, health and medical issues and social issues.
"Just the creative freedom to pick subjects, to really dig deep," she said. "It might be nice to have a little more wiggle room for me to show my personality."
Couric, whose tenure at CBS was marked by early criticism, said she has no regrets, calling the anchor job an honor and a privilege.
"I think I've learned you really have to be true to yourself, focus on your work and not be influenced by outside naysayers or in some cases, supporters. You just have to focus on the job at hand and as my dad always told me, do the best you can."
"I don't want to feel pressured by outside forces to make a decision quickly," she said. "I want to be methodical and smart about it."
Once her choice is made, Couric joked, Charlie Sheen can reclaim some media attention.
"I need to give the headlines back to Charlie," she said laughing. "I feel really bad about that."