The fee for Lucas Digne is up to £25m.
It is the result of several days of negotiations, in which Villa have beaten off interest from other teams.
Digne is going to have a medical.
He wants to leave Goodison Park this month and has three years left on his contract.
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The Transfer Talk panel discussed the qualities that Lucas Digne would bring to Villa if he were to join.
Steven Gerrard is set to bring in his second signing as a manager after the arrival of Philippe Coutinho.
Yves Bissouma is nearing the end of his contract at the Amex Stadium and Villa are interested in signing him.
Digne was the top chance creator last season.
Sky Sports News had been told that Digne, one of the stars of the team, was wanted by the club.
The manager of the club confirmed that Digne told the club he wanted to leave after falling out with the manager over tactics.
"He's been very clear about it." I want to ask a question to every fan and former player, what would Peter Reid do if a player came out and said he didn't want to be there?
"That's it, simple." What do you expect the manager to do when a player is thinking of leaving? I've had a couple of conversations with him and he told me what he thought.
Digne and Benitez are no longer at the club.
Vitaliy Mykolenko is a replacement for Digne.
In the January window, the Toffees secured the services of Rangers and Scotland right-back Nathan Patterson in a deal worth £16m.
Digne has played in 15 games and scored once for the 15th-ranked club, who will be looking to improve on their 15th place position when they travel to Norfolk on Saturday.
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The Transfer Show's Dharmesh Sheth and Kaveh Solhekol discuss the latest transfer news from all 20 clubs.
Would Digne be a good fit for Villa?
Sky Sports' Peter Smith gave an analysis.
What will the Frenchman bring to the group?
Over the past three and a half seasons, Digne has been a key player for the club, despite the fact that he has been at the club for only three and a half years.
He has been with the team for less than a year, but he has already made a difference, recording more assists than any other player.
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Pete Smith of Sky Sports explains what Lucas Digne would bring to Villa.
Vitaliy Mykolenko, who played for the Ukrainian national team at the Euros last summer, cannot match Digne's quality and experience at this moment in time, and he has been signed by the club.
Digne has over 40 caps for France and has won titles with Barcelona and Paris Saint-Germain.
It will be his creative skills that will be exciting. Digne is in his prime at a time when he is one of the best full-backs in the league.
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Sky Sports has a January transfer window.
Who will be moving in January?
The January transfer window closes at 11pm on Monday January 31.
Sky Sports has a dedicated Transfer Centre blog where you can keep up-to-date with all the latest news. Sky Sports News has the ins, outs and analysis.