NBC News is said to also be in talks with others, including Meredith Vieira, the Post reports.
"With the Today show in a good place, we are blessed with great talent and many options to temporarily fill Savannah's chair while she's on leave, but there's no plan yet," an NBC spokeswoman said in a statement. "Stay tuned."
Season MVPs: The year's best
Couric first joined Today in 1991, when she ironically was called on to fill Deborah Norville's spot when she left on maternity leave. Couric secured the gig permanently and remained as co-anchor until she exited in 2006 for CBS Evening News. Couric currently hosts her own talk show, Katie, which ends in June. Couric also has a deal with Yahoo! as its global anchor. While Yahoo! has a partnership with ABC News, Couric's interviews aren't covered by that deal.
Do you think Couric should return to Today?
Watch Katie share her favorite shows with us below: