Nancy announced on their official website that Fortune was in Glasgow to “visit the Celtic set-up”.

But general manager Nicholas Holveck added: “Any decision has still to be made.”

Nancy also confirmed that Celtic were interested in midfielder Landry N‘Guemo, who is being tracked by other clubs.

Fortune, 28, scored five goals for the Baggies after signing on loan in January.

His form alerted several Barclays Premier League clubs with Hull, Fulham and Portsmouth all making moves for the frontman.

West Ham were also reported to have joined the race to sign Fortune, who is expected to decide on his future early this week.

Nancy are thought to have accepted a number of bids of around £3.8m for Fortune.

Mowbray last week admitted he was hoping that the lure of Celtic and their personal relationship would encourage Fortune to snub a more lucrative deal in England.

“My advantage is I have worked with him – he knows me as a coach, I know his strengths and weaknesses,” Mowbray said.

“I don’t think it’s any secret that the English Premier League clubs get £30-35m each year off their television deals and the Scottish clubs don’t.

“But what I do know is we have a huge pulling power from the support and the history and tradition of this club.

“Believe it or not, there’s a lot of footballers who play for the love of the game as well as the money that goes with it.

“To play for a club fighting for championships, hoping to compete in the Champions League is a much bigger draw than taking the money sometimes and going and fighting against relegation and playing in a league when there are only really four teams who can ever compete to win that league.”