Slutsky has agreed terms with Hull’s owners, the Allams, to succeed Marco Silva and the club are ready to confirm his appointment.
The former Russia and CSKA Moscow boss in back in his homeland preparing for his move to Humberside.
Slutsky, 46, will begin work next week when he is expected to be unveiled as the Tigers’ new boss.
Slutsky’s goal is to become the first Russian to manage in the Premier League and is adamant he can achieve that aim with Hull after seeking assurances from the Allams.
They have a mixed record backing their managers, but have promised to fund the major overhaul Slutsky feels the Hull squad needs to win promotion next season.
The Allams are impressed with Slutsky’s style and track record and he won three titles in four years with CSKA.
He combined managing CSKA with coaching Russia and led them to the Euro 2016 Finals last summer before standing down 12 months ago.
The Allams were also taken by the glowing reference for Slutsky from his close pal Roman Abramovich.
Abramovich has hosted Slutsky since he came to London in January to find a job in England and has given him total access to the club’s Cobham training base.