Depends, normally you'd need to right to permanent residence in this country before they would look at employing you. And a work permit to boot. You could always give Monarch a call and see what they said - and also ask at the Embassy. Some professions (especially engineers) can sometimes be given the right to remain based on what economic benefit they might bring the country.
Of course, that's just what I remember. You should really ask the Home Office for professional guidance. Call them on 0845 010 5200 or look at
http://www.ind.homeoffice.gov.uk/
Horgy