Wigan Athletic boss Roberto Martinez says he turned down the Liverpool job before they hired Brendan Rodgers.
Martinez has told the Daily Mirror that a concrete offer was made by the Anfield club.
"We must educate people," said Martinez. "In five or six years, we [Wigan] reap the benefits. Maybe I won't be there then.
"But this is not why I stayed, when Liverpool made me an offer." He added: "I stayed because my chairman is unique.
"This summer, we sat down together. He had thought about the future of the club, I'd done the same. He knew that I had spoken with other clubs. But he is so persuasive... I extended my contract for three years.
"He wants to take the club to the next level. I know it will be difficult, but it excites me a lot."