Taylor is looking for a new club after confirming his intention to leave Elland Road at the end of last season.
The 23-year-old was fined earlier this month after refusing to play against Wigan Athletic, with his agent urging him to miss the Championship clash.
With Garry Monk now looking for a new job, West Brom are hoping to push through a deal before his contract expires next month.
The Baggies have been long-term admirers of the youngster and they are hoping to avoid a tribunal in the coming weeks.
Boss Tony Pulis believes a court case could see West Brom pay more than the player’s market value and the club’s board are hoping to agree terms with Leeds in the coming days.