The blues are said to be confident of beating Manchester United to the signing of Real Madrid centre-back Raphael Varane.
Varane remains a regular at the Bernabeu, where he has spent the last 10 seasons, but is due to become a free agent in a year’s time.
Madrid must therefore weigh up whether to cash in on Varane this summer or potentially risk losing the centre-back for nothing next year.
Man United have been strongly linked with Varane over a number of transfer windows, without a move ever managing to materialise.
Chelsea are willing to put to tabel and increased of what Manchester United is willing to pay to get Varane to England.
According to a source, the Red Devils are still interested in the 28-year-old, but they again face missing out on his signature.
Chelsea are said to be willing to outbid their Premier League rivals with an offer that exceeds what United are prepared to table.
In addition, the source indicates that the Blues feel a huge bid will be enough to tempt Madrid to sell up, though they must also agree terms with the player.