Leeds had Bridcutt on loan towards the back end of last term, and he impressed hugely at Elland Road.
The central-midfielder was a dominant force in Steve Evans’ side, and Leeds are eager to bring him back.
Bridcutt has previously stated that he would like to return to Leeds, but at the moment there is a sizeable amount of negotiation still to be done, if the two sides are to do a deal.
Sunderland are said to be looking for between £1.5 and £2.5 million for the midfielder, while Leeds are hoping to do a deal for less money.
Leeds have reportedly had bids rejected of £1 million and £1.25 million for Bridcutt, but they are still hoping to complete a transfer before the close of the transfer window.
At the start of the transfer window, the Sunderland Echo suggested that Sunderland only wanted £500,000 for Bridcutt - but it seems that they are demanding far more money now.
Leeds are keen to add a central-midfielder, as they look to cover for the loss of Lewis Cook.
The Whites have made six signings so far this summer, with Marcus Antonsson, Kyle Bartley, Matt Grimes, Kemar Roofe, Rob Green and Hadi Sacko all arriving at Elland Road.