The General Motors defective ignition switch compensation fund has so far approved 33 death claims and 39 injury claims, with a total of 2,100 claims having been filed, according to the fund’s administrator, Kenneth Feinberg.

However, Feinberg told CNBC that half of the filed GM defective ignition switch accident claims have no accident documentation. In addition, out of an “abundance of caution,” the fund is accepting claims through Jan. 31, a month longer than initially planned.

Notice of the deadline extension was sent to some 4.5 million current and previous owners of eligible vehicles. GM has already notified more than 6 million people of the program, he said, and is sending out an additional 850,000 letters to new owners of used cars and people whose addresses in GM’s files were not correct, The New York Times reported.

“I don’t think there are many people out there, if any, who don’t know about this program,” Feinberg told CNBC.

But in mid-November, the Times reported that GM failed to notify the family of one of 13 people killed in accidents linked to the faulty ignition switch.

“Relatives of Jean Averill, who was killed in a 2003 crash involving (a Saturn) Ion, did not know they could receive compensation until they were contacted by The Times. A spokesman said the company had an old address for the family.”

GM has said it expects to spend $400 million on claims, but has acknowledged the figure could rise to $600 million. The fund will pay at least $1 million for each death claim, along with $300,000 payments to surviving spouses and children for pain and suffering. In addition, it will calculate the economic value of the life lost.

The claims stem from GM’s delayed recall of 2.6 million Chevrolet Cobalts, Saturn Ions and other cars with defective ignition switches that can accidentally turn off the engine and disable power steering, power brakes and air bags. The automaker has been named as defendant in two class action lawsuits filed on behalf of 30 million GM consumers who accuse the company of lying about the safety of its vehicles both before and after GM filed for Chapter 11 bankruptcy.

The consolidated complaints allege that more than 60 recalls affecting more than 27 million GM cars and trucks sold in the United States for model years 1997 to 2014 have caused consumers to lose value in their vehicles, according to the plaintiffs’ attorneys.

The two consolidated complaints were filed in federal court in the Southern District of New York, the same place where hundreds of ignition switch lawsuits against GM have already been consolidated.

The first complaint covers all GM vehicles sold after the company’s bankruptcy proceedings and accuses the automaker of misrepresentation, concealment and non-disclosure of a numerous serious safety defects.

The second complaint seeks compensation for millions of GM vehicle owners “with serious ignition-related safety defects that can cause the vehicle’s ignition switch to inadvertently move from the ‘run’ position to the ‘accessory’ or ‘off’ position during ordinary driving conditions, resulting in a loss of power, vehicle speed control and braking, as well as a failure of the vehicle’s airbags to deploy.”

GM has recalled 30 million vehicles worldwide in 78 campaigns, including 26.5 million in the United States.