The Weatherfield actor's character last year started an affair and later a relationship with factory owner Carla Connor.
Gascoyne told this week's TV Times: "I think [Peter and Leanne should get back together]. Peter can't carry on chasing women and robbing banks forever."
The 44-year-old then joked: "It's hard work and I'm getting too old for it! Leanne gave him stability in his life and maybe that's what he needs."
Meanwhile, the star said his alter ego's son Simon could become a teenage tearaway in a few years' time, adding: "On this show, yeah definitely!
"He could follow in his dad's footsteps, and they'll have to do all the same storylines again a few years down the line, or maybe he could buck the trend and end up going to university."