That is according to Spanish outlet Diario Gol, who claim the Premier League champions are willing to cut a player-plus-cash deal.
Stamford Bridge chiefs have set an asking price worth £109m (€120m) for Hazard.
But they could be tempted to drop their asking price if Barcelona throw Sergi Roberto into the deal.
Barcelona are desperate to sign a replacement for Neymar and, despite eyeing Ousmane Dembele and Philippe Coutinho, Hazard is on their wish list.
Reports in Spain earlier this month suggested Antonio Conte has asked Chelsea to launch a move for Roberto.
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