Cavendish has to amass qualification points to have any chance of competing on the track at the Olympics - for the second time in his career - in just two years' time.
The Quick Step sprinter earned some during at the low-key International Belgian Open in Ghent last September, but Sutton said the Manxman needs to pick more up before this summer if his Olympic dream is to continue.
“He needs to start now and he's looking at that,” Sutton told Cycling Weekly. “We've tried to encourage Mark, but you're talking about one of the all-time greats of the sport.
“The demands on him are massive; putting pressure on him about coming back to the track and winning the omnium isn't the way we work. Mark knows the support system is there for him if he wants it.
“The door is open for him, it just depends whether he wants to walk through it or not. I think he has the pedigree, but it's up to him.”
Sutton was speaking at the London Track World Cup meeting, where promising talent Jon Dibben placed seventh overall in the men's omnium after seeing his medal chances disappear when his foot unclipped from his pedal during the elimination race.
Dibben took silver in October's European Championships, and Sutton admits that having Cavendish – as well as Sky's Ben Swift - lurking in the background will motivate the 20-year-old as Rio draws closer.
“It keeps a bit of pressure on Jon. If you're Jon you want something to keep you on your toes, and you don't get bigger than having those guys wanting his spot,” added Sutton.
"Let’s be honest, who in Rio wouldn’t want Mark Cavendish or Sir Bradley Wiggins there, but because we are governed by this points thing that makes it difficult for these people."
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