United had already seen a bid of €80m (£68m) rejected last week, with Ajax holding out for closer to their €100m asking price due to a lack of time to find a replacement.
It remains to be seen whether United increase their offer for the Brazil international. Cody Gakpo, the PSV Eindhoven winger, has been considered as an alternative if a deal for Antony is not considered possible.
Antony is nevertheless eager to reunite with his former manager Erik ten Hag and went public with his desire to move to Old Trafford in an interview with journalist Fabrizio Romano on Friday night.
“In June of this year, I interrupted my vacation and came personally to inform the managers of Ajax, including new coach, about my wish to leave and that they should consider this possibility, because it was a project for two seasons,” he said.
“During the window months, meetings continued and I also received a proposal from Ajax for contract renewal. I made it clear once again: I want to leave.
Antony added: “Today, in a meeting with the club, I expressed my old interest in leaving, only this time with a considerable offer on the table. Others had already arrived. Ajax refused with argument that they only have five days to replace me.
“I’m not asking Ajax to release me, I’m asking Ajax to sell me with the highest bid ever for Eredivisie player. I’ve been insisting