The 21-year-old excelled in front of goal for the Belgian top-flight champions last season, scoring 18 times and registering 10 assists in 49 appearances across all competitions.
The 6ft 3in forward's impressive form is believed to have caught the eye of a number of European clubs including Leeds, who are prepared to use the funds generated from the expected sale of Raphinha to recruit the Belgium international.
According to Belgian news outlet HLN, Brugge have received a 'concrete offer' from Leeds worth £25.5m with add-ons which could take the deal up to £29.7m.
However, the report adds that De Ketelaere is not yet convinced about a potential move to Elland Road and is currently favouring a move to Milan, who can offer Champions League football.
The report also claims that De Ketelaere's representatives are aware that both Arsenal and Leicester City are also closely monitoring the forward, but a switch to Milan is believed to be the Belgian's preference, with the English duo yet to express concrete interest in Brugge's star man.
It Is thought that there is still some distance in negotiations between Milan and Brugge, with the former's latest offer totalling to around £17m.
Monaco 
Stade Brestois 29 
Bordeaux 
Nimes 
Bayern Munich 
FC Augsburg 
Paris Saint Germain 
Toulouse 
CSKA Moscow 
FC Rostov 
Leicester 
Chelsea 
Valencia 
Betis 
Dynamo Kyiv 
Chornomorets Odesa 
Verona 
Inter 
Bayer Leverkusen 
FC Heidenheim 
Borussia Dortmund 
SC Freiburg 
VFL Wolfsburg 
Union Berlin 
Arsenal 
Nottingham Forest 
Everton 
Brentford 
Spartak Moscow 
Lokomotiv Moscow 
Rangers 
Dundee Utd 
Atletico Madrid 
Alaves 
Lens 
Marseille 
Ingulets Petrove 
Shakhtar Donetsk 
AC Milan 
Juventus 
ST Malo 
Manchester City 
Tottenham 
Eintracht Frankfurt 
Werder Bremen 
Girona 
Espanyol 
Feyenoord 
Heerenveen 
ST Etienne 
Montpellier 
Grenoble Foot 38 
Heart Of Midlothian 
Celtic 
Reims 
Lyon 
PSV 
Groningen