The 22-year-old Brazilian has been strongly linked with a move to Old Trafford, which would see him reunite with Erik ten Hag who has left the Eredivisie champions to take the reins in Manchester.
Antony's agent is believed to be pushing for his client to move to the Red Devils and has asked for Ajax to listen to offers for the forward this summer.
However, 90min claims that United could face competition from Chelsea, as chiefs from the West London club recently held talks with the player's representatives in the UK.
The report adds that Antony is one of a number of attacking targets who Chelsea have identified, along with Barcelona's Ousmane Dembele, Manchester City's Raheem Sterling and Leeds United's Raphinha.
It is thought that Antony is valued by Ajax in excess of £40m, with the forward's contract due to expire in the summer of 2025.
Antony was a standout performer for the Dutch giants last season, scoring 12 goals and registering 10 assists in 32 appearances across all competitions.
FC Oleksandriya 
Dynamo Kyiv 
VFL Wolfsburg 
1899 Hoffenheim 
Ajax 
Utrecht 
Everton 
Wolverhampton 
Manchester City 
Nottingham Forest 
Newcastle 
Liverpool 
Southampton 
Chelsea 
RB Leipzig 
Eintracht Frankfurt 
Rangers 
Kilmarnock 
Fiorentina 
Empoli 
Aberdeen 
Celtic 
Athletic Bilbao 
Real Madrid 
Ejea 
Valencia 
Arsenal 
Manchester Utd 
Shakhtar Donetsk 
Vorskla Poltava 
Cacereno 
Atletico Madrid 
Lazio 
Napoli 
Ue Olot 
Sevilla 
Bournemouth 
Tottenham 
Inter 
Parma 
Valenciennes 
Bordeaux 
PSV 
Twente 
Atalanta 
AC Milan 
Auxerre 
Paris Saint Germain 
Spartak Moscow 
Nizhny Novgorod 
Bayer Leverkusen 
FC ST. Pauli 
Bayern Munich 
FC Heidenheim 
FC Augsburg 
VFL Bochum 
Werder Bremen