The 25-year-old is a mainstay in the Welsh outfit's starting XI following Ben Davies's move to Tottenham Hotspur in July 2014.
According to BBC Sport, the Eagles are looking to sign the Wales international for a fee of £3m.
Taylor, who joined Swansea from Wrexham in 2010, has made 22 appearances for Garry Monk's side this season.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Manchester CityMan City | 4 | 4 | 0 | 0 | 11 | 3 | 8 | 12 |
| 2 | Arsenal | 4 | 3 | 1 | 0 | 6 | 1 | 5 | 10 |
| 3 | Newcastle UnitedNewcastle | 4 | 3 | 1 | 0 | 6 | 3 | 3 | 10 |
| 4 | Liverpool | 4 | 3 | 0 | 1 | 7 | 1 | 6 | 9 |
| 5 | Aston Villa | 4 | 3 | 0 | 1 | 7 | 6 | 1 | 9 |
| 6 | Brighton & Hove AlbionBrighton | 4 | 2 | 2 | 0 | 6 | 2 | 4 | 8 |
| 7 | Nottingham ForestNott'm Forest | 4 | 2 | 2 | 0 | 4 | 2 | 2 | 8 |
| 8 | Chelsea | 4 | 2 | 1 | 1 | 8 | 5 | 3 | 7 |
| 9 | Brentford | 4 | 2 | 0 | 2 | 6 | 6 | 0 | 6 |
| 10 | Manchester UnitedMan Utd | 4 | 2 | 0 | 2 | 5 | 5 | 0 | 6 |
| 11 | Bournemouth | 4 | 1 | 2 | 1 | 5 | 5 | 0 | 5 |
| 12 | Fulham | 4 | 1 | 2 | 1 | 4 | 4 | 0 | 5 |
| 13 | Tottenham HotspurSpurs | 4 | 1 | 1 | 2 | 6 | 4 | 2 | 4 |
| 14 | West Ham UnitedWest Ham | 4 | 1 | 1 | 2 | 5 | 6 | -1 | 4 |
| 15 | Leicester CityLeicester | 4 | 0 | 2 | 2 | 5 | 7 | -2 | 2 |
| 16 | Crystal Palace | 4 | 0 | 2 | 2 | 4 | 7 | -3 | 2 |
| 17 | Ipswich TownIpswich | 4 | 0 | 2 | 2 | 2 | 7 | -5 | 2 |
| 18 | Wolverhampton WanderersWolves | 4 | 0 | 1 | 3 | 4 | 11 | -7 | 1 |
| 19 | Southampton | 4 | 0 | 0 | 4 | 1 | 8 | -7 | 0 |
| 20 | Everton | 4 | 0 | 0 | 4 | 4 | 13 | -9 | 0 |
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