AFC Ajax has since turned down an €80million or the Brazilian.
Sources say that United are not deterred and look to go back in with a bigger offer that Ajax will find to tempting to reject.
The Brazilian has reportedly agreed personal terms with the Manchester club already.
Reports, also, confirm that Ajax are ready to accept an improved offer for the forward.
Currently, both the club and player’s camp are expecting the new bid to come in anytime soon so the transfer negotiations can proceed.
United have since earmarked Antony as a priority signing in the forward positios.
His versatility interests Erik Ten Hag’s side as the dribbler can play off the right wing and as a central striker if need be.