Antonio Conte has recalled Gary Cahill with the skipper replacing Andreas Christensen in the middle of defence while Thibaut Courtois is fit to return in goal.
Midfielder Manuel Lanzini also looks set to miss Sunday's trip to Chelsea with the knee injury he suffered on worldwide duty with Argentina.
Hart, dropped earlier this season by Hammers boss David Moyes, provided a timely reminder of his talent with a superb save to deny Willian, who had been put clean through by Hazard.
Eden Hazard's indifferent form has epitomised Chelsea's struggles and the Belgian playmaker had gone seven games without a goal.
Guy Mowbray: "There'll be a sombre mood before kick-off, as Stamford Bridge mourns the passing of a favourite son".
Wilkins died at the age of 61 after suffering a cardiac arrest.
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However, Hernandez, on as a substitute, struck his ninth career goal against the Blues to earn a point for the Hammers.
The former England midfielder, who played for Chelsea for six years in the 1970s and had several spells as the club's assistant coach, was remembered by fans who laid flowers outside the stadium.
As graceful off the pitch as he proved to be on it, Wilkins battled his own demons away from the field but should be remembered for the passion he had for both Chelsea and the game at large.
The Brazilian has been Chelsea's best player this season and he deserves more than the Europa League next term. We have to hope we catch them on an off-day and we perform well.
The Hammers have become something of a bogey side for Chelsea in recent years but this match could serve to re-address the balance back in favour of the Blues.
They travel to Southampton, Burnley and Swansea in their next three matches, and they would really need to win all three to stay in contention.