Jol, now in charge of the Dutch giants, confirmed Harry Redknapp is a huge admirer of the exciting Uruguayan star, who has attracted widespread interest from a host of top club across the Continent.
The the 23-year-old South American ace rejected the chance to play at White Hart Lane during the last transfer window after he vowed to Jol he would stay at the Amsterdam club for at least another year.
Snub: Ajax ace Luis Suarez turned down a move to Tottenham Hotspur in January
'They took an interest in our winter break and I said then Luis Suarezwanted to stay at Ajax, because he promised me that he would stay forat least another year,' said Jol.
'Great club': Jol has nothing but praise for Spurs
But Jol, who spent three years in charge of the north London club, insists Suarez' loyality to Ajax was the sole factor in his decision to snub Spurs.
But Jol says Suarez could be bound for the Barclays Premier League in the future.
He added: 'It was nothing to do with Tottenham or another club, he wanted to stay.
'They have Jermain Defoe, Robbie Keane, all these players. If they aregood enough to be playing for Tottenham, Luis Suarez could be playingfor Tottenham because he's a good player.
'The case was that he didn't want to go to another club, he didn't wantto go to Tottenham and that was finished, the book was closed.
'Younever know what will happen in the future. Tottenham is a great club.'
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