The winger has been given permission to travel to Seville to finalise the move after he spent the second half of last season on loan at the Spanish side.
It is now up to Antony and Real Betis to agree personal terms.
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United had made it clear in negotiations with the LaLiga side that they did not want to do another straight loan for the 25-year-old.
Sky Sports News has previously reported that Antony had attracted interest from the Saudi Pro League.
Atletico Madrid, Bayer Leverkusen and Bayern Munich have also monitored his situation.
But, despite having other offers, Antony has made it clear he wanted to return to Betis.
The Brazil international had an impressive loan spell there in the second half of last season, scoring nine goals in 24 starts.
If Antony completes a permanent move to Betis it would end a forgettable three years at Man Utd, whom he joined for £86m from Ajax.
Antony failed to justify his price tag at Old Trafford as he scored just 12 goals in 96 appearances across all competitions.
Garnacho set for Chelsea move
Antony is set to follow Alejandro Garnacho out of the Man Utd exit after Chelsea agreed a £40m deal to sign the winger.
The 21-year-old forward underwent his Chelsea medical on Friday.
The deal, which includes a 10 per cent sell-on fee, represents the fourth-largest sale in United’s history after those of Cristiano Ronaldo, Romelu Lukaku and Angel Di Maria – and the club’s largest-ever sale of an academy graduate.
A compromise over Garnacho’s valuation had to be reached as United valued him at £50m – which was more than Chelsea were prepared to pay.
United negotiated the fee up from an initial Chelsea offer of £25m and are understood to feel it is a good, pragmatic deal, delivering their largest sale fee for five years. They also believe it is a good solution for the player, who has been pushing strongly to leave.
