However, the south coast club are said to have no desire to sell Shaw in the forthcoming January transfer window. In fact, Southampton chief executive Nicola Cortese has no desire whatsoever to sell any of his start assets, especially Shaw, who is tied into a five-year deal that sees him contracted to the club until 2018.
Shaw has already racked up 35 Premier League appearances, despite only turning 18 in July. His performances haven't gone unrecognised by the international set-up either. Gareth Southgate has named Shaw in every squad so far, with the youngster making three appearances for the England U21s.
Praise has been plentiful, and Shaw has succeeded in catching the eye of England manager Roy Hodgson, who this month admitted that he is a keen admirer of Shaw's abilities.
Luke Shaw, a product of Southampton's famous Staplewood academy, penned a five-year deal with the club this summer - and has stated that he has no intention of leaving.
On November the 9th, ahead of the Saints' Premier League clash with Hull City, Shaw went on record to state his commitment to Southampton, saying:
"They (the media) don't know anything because they aren't around the training ground and in the dressing room with me."
"They should know that I've signed a contract at Southampton and I'm not even thinking about moving."
Shaw has been a mainstay in Mauricio Pochettino's dynamic side, having made his breakthrough under previous manager and current Reading boss Nigel Adkins.
It is clear that Shaw considers the experience of regular Premier League football as invaluable, and he appears to have his eyes set firmly on helping Southampton establish themselves as a top flight force.
"I am happy at Southampton because I'm playing football, which is exactly what I want to be doing," Shaw said.
"I think people are starting to realise what sort of a club Southampton is. We are young and ambitious, and we want to go places in the next couple of years."
However, it is thought that Tottenham may be prepared to offer Shaw that lucrative first-team football, with Benoit Assou-Ekotto out of favour and on-loan at Queens Park Rangers, leaving Spurs boss Villas-Boas with just Danny Rose and Kyle Naughton as his left-backs. On occasion, Jan Vertonghen has deputised.
The Lilywhites remain hopeful due to the fact that Shaw's representative is the same as that of club record signing Erik Lamela, who joined the club from AS Roma this summer in a deal worth a potential £30m.
The Daily Mail claims that there is a strong relationship between Tottenham and Shaw's representatives, and that club chairman Daniel Levy is keen on attracting the Southampton man to White Hart Lane.
"I don't really take notice of things that are written about me - it is frustrating at times, but I just laugh it off."
Southampton have no need to sell, following a strong start to the season that sees them above Tottenham in the league table after twelve games of the Premier League season.
The club continue to be well-backed by the Estate of Markus Liebherr, the club's owner, who died in 2010. Chief Executive Nicola Cortese has publicly stated his pursuit of European football, whilst the club's Argentine boss, Mauricio Pochettino, has encouraged Southampton to aim for Champions League qualification.
The one-time perennial strugglers shelled out in excess of £30m this summer on the high-profile captures of Croatia international Dejan Lovren, former Celtic midfielder Victor Wanyama, and Italian striker Dani Osvaldo.
Both chief executive Cortese and Head Coach Mauricio Pochettino insist that the club's days of selling its top talents are over, and remain positive that Shaw's future lies with the south coast club.
Speaking back in July, Pochettino said:
"Luke made a tremendous impact during his first season as a professional, and he is still growing and improving with each game he plays and every training session he takes part in."
"It is very clear that he has a huge future ahead of him, and we are delighted that he shares our vision for his growth over the next few years."
image: © joncandy