NBC’s “Last Call with Carson Daly” is about to become the first late-night talk show to defy the writers strike and resume production.

Daly, who is not a member of the Writers Guild, will begin taping new episodes of his Burbank-based show this week for airing next week, an NBC spokesperson confirmed Tuesday.

The half-hour “Last Call” airs at 1:35 a.m. EST weeknights, but whether Daly’s first new episode would air next Monday or Tuesday was initially unclear. No guests were disclosed.

“The ...