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 | Liverpool | 10 | 8 | 1 | 1 | 19 | 6 | 13 | 25 |
| 2 | Manchester CityMan City | 10 | 7 | 2 | 1 | 21 | 11 | 10 | 23 |
| 3 | Nottingham ForestNott'm Forest | 10 | 5 | 4 | 1 | 14 | 7 | 7 | 19 |
| 4 | Chelsea | 10 | 5 | 3 | 2 | 20 | 12 | 8 | 18 |
| 5 | Arsenal | 10 | 5 | 3 | 2 | 17 | 11 | 6 | 18 |
| 6 | Aston Villa | 10 | 5 | 3 | 2 | 17 | 15 | 2 | 18 |
| 7 | Tottenham HotspurSpurs | 10 | 5 | 1 | 4 | 22 | 11 | 11 | 16 |
| 8 | Brighton & Hove AlbionBrighton | 10 | 4 | 4 | 2 | 17 | 14 | 3 | 16 |
| 9 | Fulham | 10 | 4 | 3 | 3 | 14 | 13 | 1 | 15 |
| 10 | Bournemouth | 10 | 4 | 3 | 3 | 13 | 12 | 1 | 15 |
| 11 | Newcastle UnitedNewcastle | 10 | 4 | 3 | 3 | 10 | 10 | 0 | 15 |
| 12 | Brentford | 10 | 4 | 1 | 5 | 19 | 20 | -1 | 13 |
| 13 | Manchester UnitedMan Utd | 10 | 3 | 3 | 4 | 9 | 12 | -3 | 12 |
| 14 | West Ham UnitedWest Ham | 10 | 3 | 2 | 5 | 13 | 19 | -6 | 11 |
| 15 | Leicester CityLeicester | 10 | 2 | 4 | 4 | 14 | 18 | -4 | 10 |
| 16 | Everton | 10 | 2 | 3 | 5 | 10 | 17 | -7 | 9 |
| 17 | Crystal Palace | 10 | 1 | 4 | 5 | 8 | 13 | -5 | 7 |
| 18 | Ipswich TownIpswich | 10 | 0 | 5 | 5 | 10 | 21 | -11 | 5 |
| 19 | Southampton | 10 | 1 | 1 | 8 | 7 | 19 | -12 | 4 |
| 20 | Wolverhampton WanderersWolves | 10 | 0 | 3 | 7 | 14 | 27 | -13 | 3 |
| > Premier League Full Table | |||||||||
