The pair, played by Simon Gregson and Kate Ford, end up at war after Steve discovers that Tracy was lying when she blamed Becky for her miscarriage, according to the Daily Star.
Steve's disgust towards Tracy is later expected to escalate when she refuses to move out of their new shared home of Number 13.
Determined that he doesn't want to live with Tracy, Steve reportedly recruits builder Owen Armstrong (Ian Puleston-Davies) to split the house down the middle with stud walls.
When Tracy vows to make life as difficult as possible for Steve by being the neighbour from hell, the former couple apparently spend weeks in a petty battle - cutting off each other's water and playing a series of other tricks.
A Coronation Street source told the newspaper: "Obviously they are raging, but for viewers it'll be hilarious to watch."
Reports have suggested that Becky will ruin Steve and Tracy's wedding later this month, storming into the ceremony to clear her name after obtaining proof of her arch-rival's deceit.
Becky will subsequently leave Weatherfield as Katherine Kelly has decided to bow out from the show after six years.
Coronation Street continues tonight at 8.30pm on ITV1.
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Watch a preview of Friday night's Coronation Street double bill in the video below: