"Power liftgate control modules in certain SUVs may be inadvertently exposed to water," the company said in a statement. "This may cause a short-circuit, creating a fire hazard."
Fiat-Chrysler said it is unaware of any related injuries or accidents.
It told owners of 2014-'15 Cherokees equipped with power liftgates to monitor them and keep them dry.
It began an investigation after learning of a reported vehicle fire.
This is part of a larger global recall of 164,003 vehicles.
No information about the recall has been posted on the Web site of the National Highway Traffic Safety Administration, which oversees vehicle safety in the U.S.
Edmunds says: Owners should wait for their official recall notice and then schedule a service appointment with their dealer. But if there is an immediate concern, it's best to contact your dealer now.