The former Nigeria international signed for the Black and Blues in January after cutting short his 18-month loan deal with the Turkish side, Fenerbahce.
Joining Inter afforded the 29-year-old to reunite with his former coach Conte, who gave him the opportunity to play prominently for Chelsea.
Moses teamed up with the Stamford Bridge outfit from Wigan Athletic in the summer of 2012 but found game time difficult to come by.
Moses was, however, able to convince Conte with his impressive performances during the pre-season of 2016-17 and was assured of a chance with the first team.
Moses, who revealed his love for football, has praised manager Conte and hopes to continue his stay with Inter, who have the option to sign him permanently from the Blues.