The teenage mum-of-one makes the suggestion later this year, sparking disapproval from her strict father Owen, according to The Sun.
Coronation Street cast and crew have been spotted filming scenes on location which apparently show Owen (Ian Puleston-Davies) attacking Izzy's boyfriend Gary (Mikey North) after hearing about the idea.
It is currently unknown whether Katy (Georgia May Foote) and Izzy (Cherylee Houston) will go ahead with the plan, or if Owen's disapproval will deter them.
Pictured: Coronation Street cast film the scenes on location.
The plot rumors are also likely to spark speculation about a possible sad outcome to Izzy's current pregnancy story. Tonight's episode sees the feisty factory worker begin to share the news that she is expecting a baby.
Katy and boyfriend Chesney Brown (Sam Aston) are already parents to a young son named Joseph, who was born last Christmas.