Kluivert broke into the Dutch side’s senior ranks last season, scoring two goals from 14 Eredivisie appearances, and he has managed to kick-on in the current campaign, producing some impressive performances.
The Holland Under-21 international scored a hat-trick in the 5-1 victory against Roda JC last time out, a result that leaves the club eight points behind leaders PSV, and that display is said to have caught the attention of Spurs.
Argentine tactician Mauricio Pochettino is believed to be keen on making a January offer for the talented forward and this would be the second time the English side have raided Ajax in a short space of time.
Colombian defender Davinson Sanchez was snapped up by the Premier League outfit in the summer and he could be reunited with his former team-mate when the transfer window opens in the New Year.
However, a deal would not be cheap with reports claiming an offer around the 15million euros mark will be required to acquire the services of Kluivert.