Heerenveen director Yme Kuiper told the club's official website: "Obviously the rumour machine concerning Alves has come on at a pace.
He missed the start of this season after stating he wanted to leave for a bigger club but has since made his peace with coach Gertjan Verbeek.
He has scored 10 goals in just four games this season, including seven in one game against Heracles Almelo.
It has been reported that City owner Thaksin Shinawatra flew to Amsterdam on Wednesday to open talks with Heerenveen.
It is now claimed that a 20million euros (£13.85million) deal is in place for January, and that Eriksson joined Shinawatra in Holland on Thursday to talk with the player.