The Owls have picked up 53 points from 39 matches so far in the league this season, and Gray wants them to collect seven more points.
“Every football club has to make progress year on year,” the 54-year-old told Wednesday’s official website.
“It’s a big positive that we have reached our total of last season but we don’t want to stop there. The target now is to get to 60 points, which is achievable.
“I want to finish as high up the table as possible and we have to make sure there is no danger of our season petering out.”
There are seven more rounds of games left in the Championship, and Wednesday can certainly pick up seven more points.
Games against Huddersfield Town (H) and Charlton Athletic (H) are certainly winnable, while West Yorkshire outfit Leeds United will find it tough to pick up all three points at Hillsborough on April 25.
Games against Norwich City (A), Brentford (H), Bournemouth (A) and Watford (A) will be tough to win, but Wednesday do have the quality to take points off of those promotion-chasing teams.
Last season Wednesday finished 16th in the Championship table with 53 points from 46 matches. Any more point this campaign with be a sign of progress.