The Leith-born Griffiths, who has scored 12 goals in 26 League One outings this season, admits continuing his career in Glasgow would be favourable if Neil Lennon wanted to revive his interest in his services.
"I have heard the rumours. Celtic are a massive club and it would be an honour to go and play for them. They are playing in the Champions League every season and have a tremendous squad," he the former Hibernian loanee said.
"But it is speculation and the man you need to ask is Neil Lennon if the rumours are true. But if Celtic came in with a bid for me then it is definitely something I would consider.
"Until, or if that time comes, then I have to keep focused and stay in the Wolves team.
"But I am thinking about my future. This transfer window has opened my eyes a bit. The last option would be to go back on loan somewhere. I want my future to be more certain.
"Nothing is impossible. It is hard because the manager (Kenny Jackett) has said he does not want to sell me. But he said if the right bid came in then he would not stop me going."
He added: "If I am back on the bench for the next few games then it is something I will need to speak to the manager about."
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