Hoedt had been on-loan with Royal Antwerp this season, though moved to Holland when the coronavirus shut down Belgian football.
The defender isn't expected to play again for Saints and his agents are sounding out interested clubs, says Het Nieuwsblad.
Hoedt explained last week: "Nothing was done at Antwerp until 25 May, I heard, and I don't want to be idle for months. So I approached Southampton, where I am still under contract, and I also asked Antwerp if they were okay with it.
"So now I train here three times a week. And rest assured: we follow the guidelines: no duels, no contact."