The British manufacturer reports the engine harness may have been routed incorrectly and as a result could contact the water charge air cooler bracket.
If the condition occurs, vibration of the engine could cause chafing that results in the outer sheath of the cable wearing through and exposing the wires of the engine harness.
Above and Below: Range Rover Evoque, Top and Bottom: Land Rover Discovery Sport
Depending on the location of the chafing, electrical arcing and short circuit may occur, and a warning light on the instrument panel may illuminate.
As a result, there could be a loss of the electric steering system, the engine could cut-out without warning, engine parts could melt, smoke or even an under-bonnet fire.
The VIN ranges and number of affected units for each model line are as follows:
Vehicles affected by this notice were produced from 4 July 2016 through 10 October 2016.
Owners of the recalled vehicles will be contacted via mail, and are encouraged to take their Discovery Sport or Evoque to their local dealer to have their engine harness and water charge cooler bracket inspected, and if needed, repositioned, repaired or replaced.
Land Rover says until the vehicle is inspected, it is recommended it is parked outside, preferably away from other vehicles and property.
This latest notice is the third in a week for the Discovery Sport and Evoque, with two recalls issued last week for faulty left and right front suspension lower control arms.
For more information, customers can contact Land Rover's customer relationship centre on 1800 625 642.