De Boer has been linked with the vacant Anfield job following Kenny Dalglish's sacking last week after a disappointing season culminated in the Reds' worst league finish for 18 years.
But the 42-year-old Dutchman, who has guided Ajax to back-to-back Eredivisie titles, says he still has unfinished business in Amsterdam after taking over as coach in 2010.
"I am honoured by the request, but I am only just getting started with Ajax," De Boer told De Telegraaf.
"In Amsterdam we are on a new path and, along with the club and Wim Jonk and Dennis Bergkamp, my colleagues in the technical heart, I want to bring good things.
"That's why I will stay loyal to Ajax in the coming years."
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