The 25-year-old has been in brilliant form this season, thriving in a wing-back role under Antonio Conte and is reportedly attracting interest from Spanish giants, Barcelona.
Moses scored the winner, as Chelsea defeated Tottenham 2-1 at Stamford Bridge on Saturday, to remain top of the Premier League.
Sky Sports report that the Blues are keen to keep the Super Eagles star and are prepared to hand him a bumper new contract.
Moses spent the previous three seasons on loan at Liverpool, Stoke City and West Ham, since he signed for the Blues in 2012.
His current deal expires in the summer of 2019.