Toffees boss Roberto Martinez has revealed Stones has been suffering with a virus and that Osman has picked up a knock.
Christian Atsu, recently out due to illness, could return to action with fellow winger Aaron Lennon (cup-tied) unavailable, while Leighton Baines (thigh), Bryan Oviedo (hamstring), Tony Hibbert, Steven Pienaar and Aiden McGeady (all knee) remain sidelined.
Jermain Lens is also a doubt for the clash after picking up a knock in the league.
Kiev will be without central midfielder Serhiy Rybalka, who is suspended.
However, they will be boosted by the return of Sergiy Sydorchuk from his own ban as Sergey Rebrov’s men look to take a first-leg advantage.