Millions of Time Warner Cable customers will get an extra day to watch CBS shows before the companies’ programming agreement expires in large markets such as New York and Los Angeles, both companies confirmed yesterday.

The deadline for a new agreement between Time Warner and CBS, the No. 1-rated broadcast network, has been moved to Thursday at 9 a.m. in New York from Wednesday at 5 p.m.

The deadline was extended not because there was any progress in talks, but because of a technicality related to an FCC rule about pulling signals during a “sweeps” period, according to a source familiar with the matter.