The Dutchman, who has found himself playing second fiddle this season to Saints' first-choice defensive pairing of Dejan Lovren and Jose Fonte, comes off contract in June.
A return to former club AIK Stockholm has been mooted, where Bjorn Wesström, the Swedish club's sporting director, has raised the prospect.
"We keep relationships with those we love and who love us, and he is one of them," said Wesström.
Hooiveld only spent one season with AIK, but helped them win the Swedish Allsvenskan and Svenska Cupen Double in 2009 before being sold to Scottish giants Celtic. The Dutchman played a key role in Southampton's promotion to the Premier League in 2012.
But his future is likely to be beyond St Mary's after this season having made just three Premier League appearances.
Considering Hooiveld's return, Wesström also told Expressen: "It seems silly to shut the door."
AIK are in need of a new centre-half signing, with their talented centre-halves, Per Karlsson and Alexander Milosevic, both coming off contract themselves in the European summer.
"We're working on things," continued Wesström. "We are in dialogue with the players and especially their agents. Nothing is clear - when it is, we will communicate it."