Liverpool have been given permission by Wigan Athletic to talk to coach Roberto Martinez about becoming the next manager at Anfield, a day after Kenny Dalglish was sacked.
"He's going there with an open mind," Wigan chairman Dave Whelan told Sky Sports News on Thursday.
"We would love to keep Roberto, he's a great manager. But there are two or three clubs looking for a new manager and Roberto is on the list for all of them. If Liverpool are serious, then we may lose him."
The 38-year-old Martinez left Swansea City to take over at Wigan in 2009 and has been widely praised for keeping the modest Lancashire club in the Premier League.
Wigan stayed in the top flight this season after wins over Liverpool, Arsenal, Manchester United and Newcastle United in their final eight games helped them to a respectable 15th in the league -- seven points clear of relegation.
"When Liverpool phoned me I was actually with Roberto having a meeting on what we are doing next season," added Whelan.
"I did promise Roberto and I have always said when a big club comes he would have permission to talk to them and they don't come any bigger than Liverpool.
"I gave him permission and he will be talking to them soon - I don't know when, but quite soon. When Liverpool sacked Kenny I have to say I thought Liverpool would be knocking on the door and sure enough they are."
Dalglish, who had returned for a second stint as manager at Anfield in January last year, paid the price for a dismal season that saw Liverpool finish 37 points behind champions Manchester City.
The Merseyside club's American owners the Fenway Sports Group (FSG) had given Dalglish more than Â£100 million ($159m) to spend in the transfer market since he took over from the sacked Roy Hodgson in 2011.
But expensive signings such as Andy Carroll, Stewart Downing and Jordan Henderson largely flopped and Liverpool's eighth-place finish was their worst season-ending position for nearly two decades, with their lowest points tally since 1954.
They defeated second-tier Cardiff City on penalties in the League Cup final but lost 2-1 to Chelsea in the FA Cup final earlier this month.
Dalglish voiced his gratitude to fans for their show of support following his dismissal.
In a message on Twitter, he wrote: "Overwhelmed by the support of the fans. Always been special but even more so now. Thank you from the bottom of my heart. YNWA (You'll Never Walk Alone) and I never have."
Earlier on Thursday, the 61-year-old told the Liverpool Echo that fans needed to show support to the club's American owners.
"I would hope nobody would prejudge things now," Dalglish told the Echo. "The owners have their own reasons for doing what they have done.
"They came in to help the club at a time when it wasn't in a great condition. They have improved it, taken it forward and are doing the best they can.
"Liverpool is still a great football club, still a club that should believe in whoever is going to come in after myself.
"The supporters, not just for myself but for everyone else, have always been fantastically supportive of the team and that should not change."