The Nigeria international was a relevation at wing-back in the 2016-17 season in his first campaign under Chelsea boss Antonio Conte.
Moses managed to establish himself as a first-team regular following a return of three goals and two assists in 34 appearances in the Premier League last term.
The former Liverpool defender helped the west London side to win the Premier League title with two games to spare.
Moses has spent most of the 2017-18 campaign sidelined with an injury problem as Chelsea struggle without their right wing-back.
The Chelsea star is one of five nominees to win the BBC African footballer of the year award.
Moses faces competition from RB Leipzig midfielder Naby Keita and Borussia Dortmund striker Pierre-Emerick Aubameyang.
The Chelsea winger will also have to see off Liverpool’s impressive summer signing Mohamed Salah and his team-mate Sadio Mane.
And Fabregas issued his support for Moses on Instagram from the treatment table with the above snap on the social media site.
Fabregas wrote: “Vote 🗳 for my friend @victormoses who’s been nominated for the BBC African Footballer Of The Year http://m.bbc.co.uk/sport/football/41890718 🔝👍🏻”
Chelsea have won the Premier League title in two of the last three seasons.
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