The Scot says the club do not want any of their players to leave Goodison Park in January but concedes he would be happy to sign David Villa if he wanted to move to Merseyside
Both Baines and Fellaini have been in superb form for the Toffees this campaign, which has seen them linked with moves away from Merseyside but Moyes claimed he was expecting a quiet transfer window.
The Everton boss told BBC Radio 5 Live: "Last year, we sold [Diniyar] Bilyaletdinov for £5.5m back to Russia and that gave us the opportunity to go and buy.
"We brought in Steven Pienaar on loan from Spurs, we bought [Nikica] Jelavic from Rangers for £5m and Darron Gibson from Man Utd for £500,000. We spent the money we got in. That is the way we have tended to work.
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"My intention is not to sell anyone this January."The Toffees are currently pushing hard for a place in the top four, and next season's Champions League, and are only six points behind champions Manchester City in second.
When asked about the possibility of new players arriving at Goodison in the summer, in particular, Barcelona striker David Villa, Moyes replied: "If he [Villa] was loanable and he wanted to join Everton, we'd be more than happy to have him."