The Hoops manager has been a frequent visitor at the Terriers' recent games with the lure of Vaughan, who currently has 10 Sky Bet Championship goals to his credit, believed to be the contributing factor behind his attendances.
The former Everton and Norwich forward made a permanent switch to Mark Robins' side this summer after a successful loan spell last year and his performances for the club have been rewarded with the captain's armband.
Lennon was present for the 2-1 win over Burnley at the John Smith's Stadium on Saturday and was pictured in the crowd during Tuesday night's 1-0 win at Bolton as well.
However, Huddersfield boss Robins, who jokingly referred to the Northern Irishman as "my friend Lenny" after their most recent triumph, insists any potential move for his star striker will be rebuffed.
A bid of over £8million swayed the Terriers when Blackburn came calling for their last prized asset Jordan Rhodes, yet Robins reiterated the Yorkshire club will not budge on Vaughan's availability.
"I don't know if he (Lennon) is thinking of an irresistible bid...it doesn't matter what sort of bid it is, he'll get short shrift," said Robins.
"There's absolutely no way on this planet that we'll be parting with him (Vaughan), and certainly not in January. He need not waste his time."