The theatre producer and Everton football club chairman, who last played Driver's on-screen son Gordon Clegg in the soap in 1995, said that he promised her that he would never come back to work there but has now decided to return.
Kenwright told The Sun that he visited Driver shortly before she died in hospital in October, aged 91. He said: "She was a star till the end. I went to visit her in hospital. She was in and out of consciousness.
"I whispered that if she knew it was me to squeeze my hand, and she did. I told her I'd only return to the Street if she were there, upon which she raised herself up and whispered that I dared not go back without her!"
Kenwright, who paid tribute at Driver's real-life funeral describing her as his "second mother", will make his one-off comeback for the funeral of Driver's character Betty Williams in a special Coronation Street episode next month.
The show's producer Phil Collinson recently teased that there will be a "revelation" about Betty in her funeral episode, saying: "It's a secret that Betty has taken to the grave with her and I can promise you that fans will be surprised."
> 'Coronation Street': More Betty send-off details revealed
> 'Coronation Street' Jennie McAlpine: 'I'm glad I knew Betty Driver'
> Read more 'Coronation Street' spoilers and news
Browse through a gallery of Betty Driver's life in pictures below: