Kenneth Feinberg, administrator of the General Motors faulty ignition-switch compensation fund, told CNBC on Monday that more than 800,000 new notices are being sent this week to drivers who purchased vehicles since the last notice went out.

More than 6 million notices have gone out so far, Feinberg said in a "Squawk Box" interview. "I don't think there are many people out there, if any, who don't know about this program."