In what could have blown up into prolonged public battle, Chrysler at first said no to recalling the older model Jeeps that the National Highway Traffic Safety Administration said were a fire hazard if they were involved in a rear-end collision.
NBC News reported Chrysler was expected to make file papers on Tuesday to make its case.
NHTSA has said the Jeep Grand Cherokees from model year 1993-2004 and Liberty vehicles of model years 2002-07 included the risk of a rear-end collision puncturing the gasoline tank, which would be a fire hazard.
The regulator has also attributed 51 deaths to the problem.
Chrysler said Tuesday in a statement that "in addition to a visual inspection of the vehicles [the company] will, if necessary, provide an upgrade to the rear structure of the vehicle to better manage crash forces in low-speed impacts."