Show boss Kim Crowther will lead a meeting this week to make a decision after the character's wife Vera died on Friday, according to the People.
A source told the paper: "Friday's episode was a blockbuster but the powers-that-be now need to find Jack a new love interest.
"He has always prided himself on being bone idle at home so he'll be totally lost without Vera."
Bookmakers have also opened books on the subject, with Betty Williams the 2-1 favourite and Doreen Fenwick next at 3-1.
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