The Foxes right-back claims Leicester will hold their nerve with four games to play and seal an historic league triumph.
Claudio Ranieri’s side will be without 22-goal attacker Vardy for at least their next game - a home clash with Swansea City - after he was sent off for two bookable offences against West Ham United on Saturday.
Vardy reacted badly to referee Jonathan Moss’s accusation that he had dived to win a penalty after being shown his second yellow card of the game and could now face further punishment for his behaviour.
However, former Newcastle defender Simpson claims the team can manage without Vardy and proved themselves to be a resilient side after coming from behind to claim a point against the Hammers despite being reduced to 10 men.
He is quoted in the Mirror as saying: “Psychologically I think it’s a massive point. I think we proved we’re not easy to beat. We want to win every game, we want to keep clean sheets - that’s the team we are. It didn’t happen but to draw in the last second of a game gives you a boost."
He added: “We could have got our heads down when we went down 2-1 and accepted it, but that’s not us and that’s not our group. I think psychologically that proved to the world how together we are.
“All we can do is do what we’ve been doing all season, try to win games and work hard for each other. And every single one of us left everything out there on the pitch.
“I think we showed our togetherness and team spirit and fight. So I’m sure we’ll cope with it well. We’ve got other players who can come in.”
Leicester have enjoyed a wonderful campaign to date and if they can hold their nerve they will go down in history for pulling off the biggest shock in the Premier League era.