Chelsea, who are battling for a top-four finish, face a pivotal week, hosting West Ham before heading to Prague for Thursday's game, then making the testing league trip to title-chasing Liverpool on Sunday.
Florentino Perez has already managed to agree terms in personal with Eden Hazard and his representatives.
Hazard has been linked with a £100m move to Real, and with his current contract expiring in the summer of 2020, Chelsea will have one final chance to sell the player for a decent fee.
West Ham's fans taunted Chelsea by singing "He's off to Madrid", with the Blues' board apparently holding out for £100million from Real to complete a transfer this summer.
"I'm happy here", Higuain told the Chelsea website.
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"If Eden [Hazard] wants another experience it's very hard to keep him", Chelsea manager Maurizio Sarri told Sky Sports in the aftermath of his brilliant Belgian's destruction of West Ham United at Stamford Bridge this week.
Meanwhile, there was a fresh injury concern for West Ham manager Manuel Pellegrini after Samir Nasri sustained a calf strain at Stamford Bridge. I think the best players in the world play for your Madrid's and Barcelona's and at this point Chelsea aren't. As rival clubs have experienced, sometimes it's futile to try and replace the irreplaceable, but these contrasting stories offer some hope that though it may be the end of Hazard at Chelsea, it's often possible to recover from such "disasters".
"He came here with his own ideas of how to play and I think we've done quite well".
Hazard himself was keen to downplay talk of his future after the match.
West Ham were not at the races in the opening half, but to be fair they improved massively after the break, with the Chilean producing some good tactical changes, but they couldn't quite force their way back into the game and ultimately paid the price late on.
Speaking to Otro, Suarez said: "We qualified for the UEFA Europa League but the season ended badly". I wanted to shoot quickly.
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