The National Highway Traffic Safety Administration says there are 1,132 complaints about the Cobalt's electric power steering, including reports of eleven accidents and one injury.
The review covers about 905,000 Cobalts in the model years from 2005 to 2009.
A majority of the complaints have come in the past six months. Some drivers said they couldn't stay in their traffic lane when steering became difficult.
The Cobalt is made by General Motors.
