The Switzerland wing-back is a target for Nottingham Forest and is keen to make the move to the City Ground.
Forest have offered €30m up front plus €5m in bonuses for Ndoye.
However, Italiano declared after their preseason friendly against Virtus Verona: "We need to have the clarity to make the right choices. You don't have to go just for the sake of going.
"Before leaving Bologna, you have to think carefully. We work well here, there's a desire to grow, and the people love all the players."
For Bologna, they're insisting Ndoye will only leave for €50m.