The 55-year-old has been described as a "dead man walking," with his side having won just once in their last 13 matches and now sitting only one point above the Premier League relegation zone.
However, their report also claims that former Swansea boss is another strong candidate, with Celtic likely to want heavy compensation should Lennon depart for Carrow Road.
Lennon's reluctance to leave Scotland is another potential dealbreaker, although the 42-year-old is reportedly keen to prove himself in the Premier League.
Anxiety over Hughton's future stems from comments made publicly by Norwich chief executive David McNally, in which he revealed that the Canaries will have someone in place if they choose to part company with their current boss.
Hughton now faces a stern challenge against a side he worked for for 14 years in Tottenham, as Norwich look to grind out a much-needed result against former Canaries player Tim Sherwood.
Ahead of the game, the 55-year-old told reporters: “If we are able to maintain the standard of our play over the last three games, then we will certainly give ourselves every chance.
"The areas where we have found it difficult is getting those goals which we have needed. We are going into the last 12 games of the season and it is a great challenge. We have got to make sure we really look forward to that challenge.”
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