The midfielder will join when his contract expires at the end of the month and the move will be ratified once the transfer window opens on 1 July.
Last season, the 26 year old, who is expected to sign a three-year deal, helped the Seville side secure a Europa League play-off spot.
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Hide AdCanas will still get the chance to enjoy European competition next season as Swansea prepare to enter the Europa League following their Capital One Cup triumph.