The winger is also attracting interest from Liverpool, Arsenal, Stoke City, West Ham United and Middlesbrough.
They report that as well as the Black Cats, Liverpool, Arsenal, West Ham United, Stoke City and Middlesbrough are all interested in the 24-year-old.
The Sunderland Echo's report does place a lot of focus on the transfer dealings of the Black Cats, as expected, with Allardyce scouting the French leagues for more bargains after the successful signings of Lamine Kone and Wahbi Khazri in January, and that Ghezzal could be seen as a cheaper alternative to Swansea City's Andre Ayew.
Given there seems to be an interest from a lot of Premier League clubs in Ghezzal, it is perhaps an indication that clubs feel that players from abroad could be more inclined to move to England ahead of next season given the increased investment there will be in the English game with the start of a new television deal.
Ghezzal has made a total of 38 appearances this season in all competitions, scoring 10 goals, and has experience of playing in the Champions League - meaning he could suit a whole host of sides whether it comes down to quality or experience.
As for the interest of other clubs, Middlesbrough will be looking for players to take them to the next level in their first season back in the top flight, and Ghezzal would appear to fit that profile, while Stoke have developed a reputation for picking up some quality players from the European leagues of late.
Liverpool and Arsenal are both looking to strengthen in order improve on this season - with the Reds rebuilding under Jurgen Klopp while Arsene Wenger will have viewed the most recent Premier League campaign as a missed opportunity to win the Premier League title.