Blues boss Roberto Martinez is said to have sent scouts to monitor the Brazilian, who is currently on loan at Porto.
Real may be prepared to allow the 22-year-old to go out on loan to the Premier League next season to continue his development, according to The Mirror.
Casemiro, who has made 13 La Liga appearances, has turned out 18 for Porto and netted three goals since joining the club on loan.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Barcelona | 8 | 7 | 0 | 1 | 25 | 9 | 16 | 21 |
| 2 | Real Madrid | 8 | 5 | 3 | 0 | 17 | 6 | 11 | 18 |
| 3 | Atletico MadridAtletico | 8 | 4 | 4 | 0 | 12 | 4 | 8 | 16 |
| 4 | Athletic Bilbao | 8 | 4 | 2 | 2 | 12 | 8 | 4 | 14 |
| 5 | Mallorca | 8 | 4 | 2 | 2 | 8 | 6 | 2 | 14 |
| 6 | Villarreal | 7 | 4 | 2 | 1 | 14 | 14 | 0 | 14 |
| 7 | Osasuna | 8 | 4 | 2 | 2 | 12 | 13 | -1 | 14 |
| 8 | Real BetisBetis | 8 | 3 | 3 | 2 | 8 | 7 | 1 | 12 |
| 9 | Rayo Vallecano | 8 | 2 | 4 | 2 | 9 | 8 | 1 | 10 |
| 10 | Celta Vigo | 8 | 3 | 1 | 4 | 15 | 15 | 0 | 10 |
| 11 | AlavesAlaves | 8 | 3 | 1 | 4 | 11 | 12 | -1 | 10 |
| 12 | GironaGirona | 8 | 2 | 3 | 3 | 9 | 11 | -2 | 9 |
| 13 | Sevilla | 8 | 2 | 3 | 3 | 8 | 10 | -2 | 9 |
| 14 | Real Sociedad | 8 | 2 | 2 | 4 | 6 | 7 | -1 | 8 |
| 15 | Getafe | 8 | 1 | 4 | 3 | 5 | 6 | -1 | 7 |
| 16 | Leganes | 8 | 1 | 4 | 3 | 5 | 9 | -4 | 7 |
| 17 | Espanyol | 8 | 2 | 1 | 5 | 7 | 12 | -5 | 7 |
| 18 | Valencia | 8 | 1 | 2 | 5 | 5 | 13 | -8 | 5 |
| 19 | Real ValladolidValladolid | 8 | 1 | 2 | 5 | 4 | 17 | -13 | 5 |
| 20 | Las PalmasLas Palmas | 7 | 0 | 3 | 4 | 8 | 13 | -5 | 3 |
| > La Liga Full Table | |||||||||
