The Brazil international fell out-of-favour at United during the first half of the season, and he was loaned out to Betis at the turn of the year.
Antony has been a revelation for the Andalusian outfit. He has registered four goals and four assists from 13 appearances in all competitions.
The former Ajax man is clearly happy at the La Liga club and Betis plan to open talks over keeping Antony for the 2025/26 campaign too.
Betis are likely to propose another loan deal for the 25-year-old but could be willing to include an option to buy in the summer of 2026.
It remains to be seen whether United accept such a proposal.
Antony's form at Betis is attracting interest from some of Europe's elite clubs. Atletico Madrid are among those monitoring him.
Atletico could be willing to meet the reported £35m price tag.