Antony is reportedly attempting to force through a move to Manchester United.
The Red Devils are looking to recruit in the final third before the transfer window closes, and have identified Ajax's Antony as one of their top targets.
United are believed to have had an €80m (£67.9m) bid turned down by the Dutch champions, but the Premier League club could still make an improved offer for the Brazilian.
Antony has recently added to speculation of a potential transfer by refusing to commit to the Eredivisie side beyond the current transfer window.
According to Italian football journalist Fabrizio Romano, Antony is now trying to force through a move to United after failing to train with Ajax over the last two days.
As a result, the Brazil international will not feature in Ajax starting XI for Sunday's league game against Sparta Rotterdam.
Antony wants the Dutch club to continue negotiations with United, and accept a new bid should United send another offer.