Conte admits, however, that living away from his family - who remain in Italy - has not been easy.
I just want to keep on working hard and helping my teammates out, " Moses told Chelsea official website.
Nigerian global Victor Moses' impressive form this season saw him rewarded with a new two year contract by Premier League leaders Chelsea on Wednesday.
"This new contract is a testament to Victor's hard work and dedication to succeed at Chelsea and we believe he will be a big part of our future success", he said.
"[For] every coach, when you start work with a new club you hope to stay for..."
"I repeat the only problem for me this season is that my family is missing me because they are staying in Italy".
His future at Chelsea could yet be decided by the club's transfer activity this summer.
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But having fallen out of favour under Jose Mourinho, Moses spent the next three seasons out on loan at Liverpool, Stoke City and West Ham United before being brought back into the first-team fold by Conte last summer.
Moses' increased wages still leaves his some way behind Chelsea's top earners, with Cesc Fabregas reported to take home around £220,000 a week.
"I've never dreamed of playing in this position in my life, but I'm enjoying it and I think it's probably one of the best positions, to be honest", Moses said recently. "Moses too. To run for the whole game with this quality is fantastic".
And a player like Koulibaly would go straight into the team next season if Conte gets his man.
"Now he is working very well with us, he must continue to work".
"If he shows me he deserves to play, then I put him in".
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