Trebek's current three-year contract expires in 2016 when he'll be 76, meaning his time as host of "Jeopardy!" is likely coming to an end, the Chicago Tribune said.
Lauer, host of the "Today" show, could take the opportunity to reinvent himself after recent less-than favorable reports about his position at NBC, the Post said.
Trebek has been the host of "Jeopardy!" since 1984.