Huddersfield want a new man for the position after Webber quit for Norwich.
McClaren was a guest at their game against Norwich on Wednesday night.
The 55-year-old coach has always got rave reviews for his skills and knowledge on the training ground but appears to be now be facing a move into a suit and boardroom.
In March, McClaren was linked with the briefly vacant Middlesbrough job, after Aitor Karanka was sacked.
McClaren has been axed twice by Derby and once by Newcastle in his last three postsPA:Press Association
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But he ruled himself out of the Premier League relegation battle as he prefers the quiet life now after some high-profile failures.
He said: “I've got family now in Yarm, which is very near Middlesbrough, and I've got to say, it's the only place in England I can go and have a nice quiet cup of coffee, not get pestered, and actually just get treated like a normal human being.
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