Celtic are favourites to sign the Wigan striker, while Hull City are also interested.
Will Grigg celebrates scoring the first goal for Wigan Athletic
Wigan Athletic goalscoring sensation Will Grigg's on pitch performances have seen him become a cult figure in the stands.
Latics fans created the now famous 'Will Grigg's on fire' chant, which has been transformed into a chart hit, raising money for charity.
He has also earned a place in the Northern Ireland squad for Euro 2016, where he can further add to his reputation.
Wigan Athletic's Will Grigg and Gillingham's Max Ehmer
Bookies SkyBet have now opened a market on where he will be playing his club football next season, speculating that his increased fame will lead to a transfer move.
Celtic are listed as favourites at 6/4, despite Grigg playing down talk of a move, quoted last week by Herald Scotland, saying he is simply focusing on the European Championships.
Nottingham Forest are priced as the second most likely team to sign Grigg at 10/1 - despite currently still searching for a permanent manager.
One club who did appoint a new head coach last week, Leeds United, are listed as joint third favourites at 16/1, alongside newly promoted Premier League side Hull City.
Northern Ireland's Conor Washington, Will Grigg and Kyle Lafferty pose for photos before they leave for Euro 2016
The good news for Wigan Athletic fans is the bookies feel strongly that Grigg has a good chance of staying put.
He is priced at 4/6 on to be playing for the home side at the DW Stadium when the transfer window closes.
Grigg scored 25 goals in 40 games to help Wigan earn promotion to the Championship last season, also providing five assists.
He has a contract until 2018 meaning Wigan are under no immediate pressure to cash in, meaning it could take a particularly tempting offer to convince them to sell, money the named Championship duo of Forest and Leeds may not have.
Celtic and Hull on the other hand, could pose offers which will be more difficult to resist.
Wigan's Will Grigg in action with Walsall's Paul Downing