The 27-year-old has struggled for game time under Maurizio Sarri this season, making only six appearances for the west London side.
Moses has fallen out of favour at Stamford Bridge after playing regularly under former manager Antonio Conte.
He played in 40 matches as Chelsea lifted the Premier League title in the 2016-17 campaign, while he made 38 appearances last season.
Moses joined the Blues for £9m from Wigan in the summer of 2012 and has enjoyed three loan spells during his time at the club.
Sarri’s side ended Manchester City’s unbeaten league run on Saturday evening.
Goals from N’Golo Kante and David Luiz secured a 2-0 victory over Pep Guardiola’s men.
The result left Chelsea eight points off league leaders Liverpool.