Toyota says there have been no accidents or injuries related to this issue.
The company has recalled more than 10 million vehicles during the past year because of problems ranging from faulty gas pedals to floor mats that can trap accelerators, defective braking and stalling engines.
The switch bracket is welded on to the left side of the brake pedal assembly. The brake lamp provides a signal to indicate that the brake pedal has been depressed and illuminates the brake lights.
The Associated Press contributed to this report.