Wigan chairman Dave Whelan has given Liverpool permission to speak to manager Roberto Martinez, following an approach from the Carling Cup winners.
The Anfield side are seeking a manager following Wednesday's departure of Kenny Dalglish.
And Whelan told Sky Sports News: "If Liverpool are serious then I may lose him."
Whelan has always said he felt the Spaniard was destined to manage one of Europe's top clubs and he would not stand in his way should one come calling.
The Wigan chairman revealed the Reds made an approach on Thursday afternoon and he gave Martinez permission to speak with them.
"When they phoned me I was actually with Roberto having a meeting on what we are doing next season," he said.
"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.
"I would love to keep him but I have told Roberto he has my permission to speak with Liverpool."