The deal is reported to be worth an initial 80.75 million pounds, with a further 4.25 million in add-ons, the BBC said.
He is set to complete a medical within the next two days just before deadline day on Thursday.
Antony joined Ajax in February 2020 from Brazilian Serie A side Sao Paulo, making more than 80 appearances for the Dutch side in all competitions and scoring 25 goals.
He made his Brazil debut in October 2021, in a 3-1 World Cup qualifying win over Venezuela.
He has not played for Ajax since August 14th, missing their last two games because he has been reportedly forcing through the move to reunite himself with former manager Erik ten Hag.
Antony would follow Lisandro Martinez (24) in making the same move from the Netherlands to Manchester this summer.
