Left-back Hills has been impressive for Wednesday this season but if he is deemed not to be fit, Paul Heckingbottom should displace him following his return from injury.
Graham has been suffering with a calf problem ever since the controversial challenge by Watford goalkeeper Ben Foster a fortnight ago and has been on the bench ever since.
But Sturrock is set to keep Gabby Agbonlahor in attack and Graham, who has disappointed since arriving from Wigan, should stay on the bench.
In other news, young striker Danny Reet has joined Bury on a month's loan after impressing during a trial spell this week at Gigg Lane.