Cape Town - Chelsea will offer Everton a fourth and final offer of £40 million to sign John Stones - a fee double that of their original bid for the Everton centre-back.
The Guardian report that Chelsea are not yet ready to give up their pursuit of England international defender John Stones.
Chelsea's early season struggles and the ageing John Terry have increased manager Jose Mourinho's desire to sign Stones this summer.
The 21-year-old star represents a long-term asset as well as part of the immediate plan to rectify the Premier League champions struggling defence.
John Terry, the man Stones is tipped to replace Chelsea, was substituted for the first time in 177 games by Mourinho as Manchester City ran rampant at the Etihad on Sunday - a match City ultimately won 3-0 to move five points clear of the Blues after two league matches.
The Blues have been snubbed in three attempts to agree a deal with Everton, who insist that Stone is not for sale.
On Monday, Everton rejected a bid of £30 million with Chelsea now expected to launch their fourth bid before the window closes on September 1.