An East Midlands Airport spokesperson said that the plane was diverted to East Midlands rather than continuing to Birmingham as when a "full emergency" is declared the plane must get to the nearest possible airport.
Six fire and rescue crews were on standby as the plane came into land.
The aircraft has now continued on its way to Birmingham Airport, its original destination.
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A Red Arrows jet has crashed after an incident at RAF Valley in north Wales, the Ministry of Defence has said.
A Red Arrows aircraft has crashed at RAF Valley, it is understood there were two people on board the jet.
An East Midlands Ambulance spokesperson said: "One day it could be you or your family member who needs our emergency help."