According to Sky Sports, the two clubs have agreed a total package worth up to £10m for the 27-year-old.
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It’s understood the deal taking the right-back to Elland Road will consist of an initial fee is £8m plus £2m in add-ons.
Leeds have had a busy summer transfer window as they seek to remain in the Premier League beyond this season, signing nine players.
Justin has spent six years at Leicester City but was powerless to stop them going down last season, despite scoring four goals and providing two assists in his 39 games across all competitions.