Villa have accepted a fee for full-back Amavi, 23, a regular starter for Villa last season, who signed a five-year deal when he arrived at the club two years ago.
“Aston Villa and Sevilla have agreed the transfer of Jordan Amavi, subject to medical testing within the next few days,” the Sky Bet Championship club confirmed on their official website.
Amavi joined Villa under former boss Tim Sherwood in July 2015 from Nice for an undisclosed fee, reported to be B£8million.
He was restricted to only 12 appearances in his first campaign in England due to a knee injury, but featured in a total of 36 matches last season.
Sevilla will play in the Champions League in 2017-18 after finishing fourth in LaLiga last season.