However, the Barclays Premier League club insists those remarks are wide of the mark.
Spurs boss Harry Redknapp has had issues in defence with Ledley King and Jonathan Woodgate both struggling with long-term injury problems while Cavani would boost an attacking line-up which already features the likes of Jermain Defoe, Peter Crouch and Roman Pavlyuchenko.
Zamparini was quoted by Sky Italia as claiming: "Tottenham have bid 35 million euros, an offer we cannot refuse, seeing as the two players have both said they want to leave.
"We will reinvest the money for these players. The midfield is my biggest concern, whereas in defence and attack we are fairly well covered."