The Daily Mail reports that Moyes is keen to bring the Belgian forward to Goodison Park in January in a loan deal.
The 18-year-old joined Chelsea in a £18million deal from Anderlecht in the summer, but has failed to become a regular at Stamford Bridge.
Chelsea could decide to keep Lukaku at the club in January, should Nicolas Anelka or Didier Drogba leave.
Drogba has been linked with moves to Los Angeles Galaxy and Russian side Anzhi, while Anelka has been strongly linked with a switch to Chinese Super League side Shanghai Shenhua.
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As always it is the so called “big clubs” that have splashed the most cash in the transfer window so far this summer. Manchester United or City? Arsenal or Tottenham? Who are the winners and losers of the transfer window so far?
Being an amiable guy is good for you and Jurgen Klopp is living proof.