With two games still to play, Parma have 74 points, seven more than Venezia in third place.
Parma are likely to be joined in the top flight by second-placed Como who are three points behind but enjoy a four-point cushion on Venezia who will likely have to take their chances in the play-offs.
So far only Salernitana, bottom of Serie A, have been confirmed as being relegated from the top flight. Parma have never won the Italian league title, but they are three-time Italian Cup champions.
In Europe, they won the Cup Winners' Cup in 1993 and the UEFA Cup in 1995 and 1999.