The Russian international has been linked with a number of clubs this summer, but the La Liga side are thought to be keen to keep him at the Bernabeu.
However, The Metro reports that Brendan Rodgers has demanded the club signs the 24-year-old winger, resulting in the team working on a £14.2m deal.
Cheryshev spent last season on loan with Villarreal.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Arsenal | 36 | 26 | 5 | 5 | 88 | 28 | 60 | 83 |
| 2 | Manchester CityMan City | 35 | 25 | 7 | 3 | 87 | 33 | 54 | 82 |
| 3 | Liverpool | 36 | 23 | 9 | 4 | 81 | 38 | 43 | 78 |
| 4 | Aston Villa | 36 | 20 | 7 | 9 | 73 | 53 | 20 | 67 |
| 5 | Tottenham HotspurSpurs | 35 | 18 | 6 | 11 | 69 | 58 | 11 | 60 |
| 6 | Newcastle UnitedNewcastle | 35 | 17 | 5 | 13 | 78 | 56 | 22 | 56 |
| 7 | Chelsea | 35 | 15 | 9 | 11 | 70 | 59 | 11 | 54 |
| 8 | Manchester UnitedMan Utd | 35 | 16 | 6 | 13 | 52 | 55 | -3 | 54 |
| 9 | West Ham UnitedWest Ham | 36 | 13 | 10 | 13 | 56 | 70 | -14 | 49 |
| 10 | Bournemouth | 36 | 13 | 9 | 14 | 52 | 63 | -11 | 48 |
| 11 | Brighton & Hove AlbionBrighton | 35 | 12 | 11 | 12 | 53 | 57 | -4 | 47 |
| 12 | Wolverhampton WanderersWolves | 36 | 13 | 7 | 16 | 49 | 60 | -11 | 46 |
| 13 | Fulham | 36 | 12 | 8 | 16 | 51 | 55 | -4 | 44 |
| 14 | Crystal Palace | 36 | 11 | 10 | 15 | 49 | 57 | -8 | 43 |
| 15 | Everton | 36 | 12 | 9 | 15 | 38 | 49 | -11 | 37 |
| 16 | Brentford | 36 | 9 | 9 | 18 | 52 | 60 | -8 | 36 |
| 17 | Nottingham ForestNott'm Forest | 36 | 8 | 9 | 19 | 45 | 63 | -18 | 29 |
| 18 | Luton TownLuton | 36 | 6 | 8 | 22 | 49 | 78 | -29 | 26 |
| 19 | Burnley | 36 | 5 | 9 | 22 | 39 | 74 | -35 | 24 |
| R | Sheffield UnitedSheff Utd | 36 | 3 | 7 | 26 | 35 | 100 | -65 | 16 |
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