All are equipped with the 3.5-liter gasoline turbocharged, direct-injection V6 engine.
The 2013-'15 Ford Police Interceptor sedan with all engines is also included in the recall.
"The fuel pump control module could fail, which may cause an engine to not start or stall," Ford said in a statement on Wednesday. "In some cases, the engine could stall without warning while driving and without the ability to restart, increasing the risk of a crash."
Ford said it is not aware of any accidents or injuries linked to the recall.
Ford and Lincoln dealers will replace the fuel pump control module. A date has not been announced for the recall. Owners can contact Ford customer service at 1-800-392-3673 or Lincoln customer service at 1-800-521-4140.
No information about the recall has been posted on the website of the National Highway Traffic Safety Administration, which oversees vehicle safety in the U.S.
Edmunds says: Owners of these vehicles should wait for their official recall notice and then schedule a service appointment with their dealer. Those with an immediate concern should contact their dealer now.