Barcelona are demanding €85m for the Dutch midfielder.
The former Ajax midfielder has been linked with Premier League giants Manchester United this summer and would reunite with his former manager Erik ten Hag.
The Catalan giants need to reduce their wage bill to register three more players and De Jong is one of the top earners at the club.
They recently rejected Man United’s €60m for De Jong and expect a fee in the region of €80-€85m.
But Man United are confident that Barcelona’s financial constraints will force them to sell De Jong at a fee lower than their asking price.
Transfer pundit Fabrizio Romano claims United are preparing for a second bid for De Jong.
“Manchester United are discussing internally about submitting a new proposal for Frenkie de Jong in the next days. It’s a serious possibility, while talks with Barça are still on,” the journalist tweeted last evening.
“Deal will enter into key stages after €60m [& add-ons] verbal, opening bid turned down.”