Moses moved to Stamford Bridge from Wigan for a fee in the region of £9 million over the summer and is excited to be back in London after his spell at Crystal Palace.
Speaking to the club’s official wesbite, Moses revealed: “Everything is going well at the moment. I'm enjoying life at the club.
“It's exciting for me to be back in London and playing for a massive club such as Chelsea, particularly as I'm a London boy, I'm just delighted to be here.
“It's a quality feeling to be playing alongside some of the most talented players in world football at the moment, and that's what you need around you. The more you play with these type of players, the more you improve and the more experience you gain.”
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Moses is poised to make his first start for the club when the Blues host Wolves in the League Cup and the Nigeria international has fond memories of facing them.
He added: “I remember the game, we won 3-2 at the DW Stadium. We went into a 3-0 lead but then Wolves came back and scored twice, but luckily we managed to hold on for an important win.
“They are a good side, it's not going to be an easy game, but we've started the season well. It's important we keep doing what we've been doing, approach the game in the right way and get the win.'
The 21-year-old is hoping to use the competition to show off his ability to Roberto Di Matteo and help the club to win more silverware.
He continued: “When I was at Crystal Palace and Wigan I played in most of the League Cup games, it's a good experience for younger players to play in competitive matches.
“It's a big opportunity as a young player to show the manager that you're good enough to hold down a regular place in the side.
“It's an important trophy to win. Winning trophies can help give you the mentality to push on and do well in other competitions such as the Premier League and Champions League, so we just need to keep on winning games.
“It's a few years since Chelsea have won the competition, so it would be great for the club and the players if we could win it and get it in the trophy cabinet.”