The '30 Rock' actor - who is currently starring in a stage production of 'Orphans' on New York's Broadway - is said to have had "conversations" with NBC about taking over the slot currently occupied by 'Carson Daly's Last Call' after impressing network chiefs with his podcast series.
A source told E! News: "People have been impressed with his radio podcast series and have thought about him for these opportunities."
Alec's podcast series with WNYC radio, called 'Here's The Thing,' has seen him interview stars including David Letterman, Billy Joel, Kristen Wiig and Chris Rock away from the studio into locations such as his guests' apartments.
If the proposed 30-minute TV show followed the same format, it would mean the 55-year-old actor could record several installments in one day, leaving his schedule open for his other commitments, the New York Daily News reports.
The proposal is one of several changes to NBC's late-night schedule, following the network's confirmation that Jay Leno is stepping down from 'The Tonight Show' and being replaced by 'Late Night' host Jimmy Fallon next year. Seth Meyers, best known for his work on 'Saturday Night Live,' is tipped to take over Jimmy's current show.