The teenage midfielder has been one of the breakout stars in the Premier League this season.
The young midfielder has been the surprise package of the Premier League campaign so far, putting in a number of impressive performances.
Those displays have seen him break into the senior England set up, and impress there as well, with a spectacular goal against France getting everybody talking.
He is now being touted as a big star for the future, but Le Tissier says that happening will be wholly dependent on the youngster staying grounded.
“He's obviously an exceptional talent but the most important thing is his mentality and that hunger to keep improving,” he told Sky Sports.
"He has bundles of potential there but you don't want to put too much pressure on the kid. It's a great experience for him and he has all the tools but we need to be patient."
The former star has also urged Alli to ignore any transfer rumours that will now be sparked.
As with any young talent making his mark in a top division, Alli’s performances have attracted attention, and the rumour mill has already started to suggest that a big move could be on the cards.
With things going swimmingly at Tottenham, though, leaving could be a bad idea, with a long line of failed English talent standing as testament to that.
And Le Tissier believes that staying at Spurs is the best option for him, as Pochettino will keep his feet firmly on the ground.
"Mauricio Pochettino will be keen to ensure he keeps his feet on the ground and continues to work hard," he added.
"He's the type of manager that will instill the right mentality in his players and Alli is in a good position to flourish. The most important thing is for him to continue to develop with the first-team exposure that he's getting at Tottenham.”