Vitesse Arnhem have yet to submit a bid to re-sign Theo Janssen and Ajax are not expected to want to sell the midfielder.
The 31-year-old spent the first decade of his career with Vitesse before a move to FC Twente and then a transfer to Ajax on a two-year deal in 2011.
Reports have suggested Janssen could return to Vitesse this summer, despite just helping Ajax to the Eredivisie title last season.
But Ajax's director of football, Marc Overmars, has yet to receive an offer and he is adamant any decision over a possible sale would rest with manager Frank de Boer.
"Vitesse have been linked with Theo, but there is no bid. Frank de Boer and the others in the technical team will decide what they want to do," Overmars told De Telegraaf.
"If the coach says he cannot leave, then he stays. And I can imagine that he says that, because Theo was and is an important player for Ajax.
"If Frank thinks he can get a certain amount for him, we will talk then. But for now, there is nothing."