The 23-year-old defender was one of the standout performers in the Championship last season and has attracted interest from several Premier League clubs this summer.
Sheffield United have already failed with a bid for Cash, claimed to be of £10m, and West Ham and Aston Villa have also expressed an interest in the full-back this summer.
But Fulham are claimed to be the ones who are leading the chase to sign the 23-year-old Cash in the ongoing transfer window.
Scott Parker has identified the full-back as one of his priority targets ahead of Fulham’s return to the Premier League next season.
Nottingham Forest have set an asking price of £15m for one of the best players of last season’s Championship and are keen to dig in their heels.
But Fulham are hopeful of negotiating a deal that will see them pay a smaller amount with a player moving to the City Ground as part of an agreement this summer.
The Craven Cottage outfit are keen to offer an upfront fee of £10m and offer a player to Nottingham Forest as part of the deal.
The London club are expected to put in their formal bid with Nottingham Forest for Cash in the coming days.