It will be an emotional night at the Reebok Stadium with a minute's silence before kick-off in honour of the legendary striker.
Coyle knows how strong the football community is in Bolton, having made 54 appearances for the club between 1993 and 1995 before returning as manager 12 months ago. And he believes his players have a duty to the fans to put in a good shift.
He said: "Everyone at the club knows Nat from seeing him about and what he brought to Bolton.
"If the players can add that little bit to their game on Monday that would excellent. They will do their utmost that's for sure.
"What Nat had apart from being the best player Bolton ever had, he was a supporter of the club. I ask my players the same thing, to give their best for those supporters, so they know they have a team to be proud of. I am pretty sure on Monday the players will do that."