The two journalists helmed NBC's morning news show together for more than a decade, until Couric departed in 2006 to join the CBS Evening News.
After Couric announced her impending departure from CBS last month, the star indicated that she was open to working with Lauer once again.
On Monday, Lauer spoke to the press following another high-profile announcement that his current Today co-host Meredith Viera plans to leave the NBC show in June.
When asked if he is planning his own Today show exit to re-team with Couric, Lauer revealed that he had given the matter serious thought, but had resolved to stay on as NBC's morning anchor.
"Katie and I did speak about it," he said. "As it turned out, it turned into just talk and that's how we left it."
Last month, Lauer confirmed on Late Night with Jimmy Fallon that he plans to stay on as Today's host for the foreseeable future, saying: "I love my job. I have a long-term contract - I'm not going anywhere."
> Scott Pelley to anchor CBS Evening News