Lambert has only experienced seven defeats in his 45 games at Norwich
Norwich City chief executive David McNally says any approach for manager Paul Lambert would be refused.
The Scot, who is the bookmakers' second favourite to be the new Celtic manager, played down the link north last month.
McNally said: "If anybody came in for him, we would say 'your interest is not welcome, you do not have permission to speak to him, please go away'."
Lambert, 40, took over at Carrow Road in August and has led them to the verge of the League One title.
Celtic are 13 points below Rangers in the Scottish Premier League table, with Neil Lennon acting as caretaker boss.
Lambert made 193 appearances for Celtic between 1997 and 2005 and has had managerial spells at Livingston, Wycombe and Colchester.
McNally said: "Paul's very happy at Norwich City. He's got a job to do and I know he's looking forward to next season.
"Of course we all hope we'll be in the Championship. That will bring for all of us some real challenges but I am sure he's planning to take this great club forward."
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