So far, GM has issued 34 recalls covering 13.9 million vehicles, although some of those were counted more than once because they are being called back for multiple fixes. GM has set aside $1.7 billion to cover recall-related expenses this year.
Barra said that 70 percent of those vehicles are models that are no longer in production.
GM still faces investigations into its handling of the ignition switch by two congressional committees and the Department of Justice.
This month, lawyer Kenneth Feinberg is expected to lay out a plan to compensate the families of victims who died and those who were seriously injured in accidents linked to the switch.
Barra said today that Feinberg will be given “complete independence” over the victim-compensation process. She said Feinberg likely will finalize by the end of June his criteria for determining which victims qualify for compensation, and said GM should have a better idea of the cost of the program by then.
Last week, GM executives acknowledged that the number of deaths related to the defect could rise from 13 depending on the criteria that Feinberg outlines.
Bloomberg contributed to this report.