The assistant coach will return from holiday after the weekend and is expected to be told he is surplus to requirements by owner Roman Abramovich.
Clarke, 44, who joined the club as a player from St Mirren in 1987, is likely to follow Avram Grant and his assistant, Henk ten Cate, out of the exit door.
You'll have to make do without me: Steve Clarke (right) looks set to leave Chelsea
The former Scotland defender was No2 to Jose Mourinho and Grant during his four-year coaching spell at the club.
He could now be handed a position with Everton working with David Moyes but would
also like to secure a manager’s job at Championship level.
Mourinho, meanwhile, is expected to be unveiled as Inter Milan’s new manager today - his first job since leaving Chelsea last September.
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London gets ready for the Diamond Jubilee - in pictures
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Diamond Jubilee: Boat by boat, here is where to watch the Queen's Thames flotilla - VIDEO
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Duchess of Cambridge is pretty in pink at her first Buckingham Palace garden party
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News pictures of the day
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Locked up and banned: The Tube drunk whose vile racist rant was caught on film (video)
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London 2012 Olympics: Raising the bar and the Games haven't even started yet. Price of toasting Team GB is £6 a pint! -
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Family pay tribute to the London man who gave his life to save a five-year-old girl from drowning 
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Shrimpy's - review 
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