Sbragia has come under pressure in recent weeks after the team dropped to 17th position in the Barclays Premier League and speculation has mounted another manager might be brought in to ensure the Black Cats beat the drop.
But Quinn said there is no truth in such reports and praised the job Sbragia has done since taking over from Roy Keane in December.
"We are 100% behind Ricky," Quinn told Sky Sports News.
"I said it when Roy Keane was around - I am like a team-mate, it's a partnership between myself and Ricky. We are trying to help Ricky and he's doing a superb job.
"You must remember that he had no players to sign in the transfer market - he took over on the eve of the window so he had no scouting done and he got a couple of loan players in.
"He hasn't had that much of a grasp of being mananger in terms of doing it his way and we've asked him to do a very difficult job.
"The great thing for me would be for us to stay up, sit down and have a review for a few days away from Sunderland and then plan for something really big next year.
"But there is absolutely no truth that we are looking at anybody else. It's Ricky Sbragia's job, he's our manager."