The pair jump into bed together later this year after Jason has split from hairdresser Maria Connor, according to the Daily Star.
Rovers boss Stella later considers ending the fling when Jason's mother Eileen (Sue Cleaver) spots them kissing, but the Weatherfield builder is determined to keep things going between them.
Stella is quoted as saying: "I feel mortified and embarrassed. Your mum saw us snogging. Just saying that makes me want to cringe. She's right though, what was I thinking?"
However, Jason (Ryan Thomas) replies: "I don't care. We're both free and single, why can't we?"
Stella apparently agrees to continue with the relationship following the chat, but whether the pair have a long-term future remains to be seen.
Michelle Collins, who plays Stella, recently confirmed plans to give her character a new love interest following her split from cheating Karl Munro.
Collins said last week: "Stella is going to have a little bit of a romance in her life coming up. I can't really say who it is, but it's quite exciting.
"It is someone on the street and it's someone that people like. That's all I'm going to say. I don't really know too much about it as they've just started it."
Coronation Street continues tonight (October 15) at 7.30pm on ITV1.