Wolves, who are preparing for life in League One next season, have activated a clause in Griffiths' contract that ties him down to another year with them.
The Scottish Football Writers' and Clydesdale Bank player of the year, who has scored 28 goals this season, said: "It's not 100 per cent definite that I'll be going back to Wolves. I want to stay here. I love the club and I don't want to leave yet.
"It's up to Hibs and Wolves to agree a fee. Wolves have taken up the option of another year on my contract and they want me to be a big part of their plans for promotion next season.
"But I don't want to leave Hibs. It's the fans that I have really taken to because I'm one of them. I've showed on the park how much they mean to me and how much the club means to me.
"I love the club too much to go but if Sunday's match is to be my last, then what a way to go out with a Scottish Cup final and hopefully a winner's medal."
Hibernian tackle Celtic in the final of the Scottish Cup on Sunday May 26, live on Sky Sports 3 HD from 14.30.