The 35-year-old is currently a free agent after his contract with Turkish club Besiktas expired in November.
It is unclear whether Hammers manager Sam Allardyce will offer the former Spanish international a deal, according to KUMB.com.
Guti won six La Liga titles and three Champions Leagues during a hugely successful 15-year-spell with Madrid.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Barcelona | 26 | 18 | 3 | 5 | 71 | 25 | 46 | 57 |
| 2 | Real Madrid | 27 | 17 | 6 | 4 | 57 | 26 | 31 | 57 |
| 3 | Atletico MadridAtletico | 27 | 16 | 8 | 3 | 44 | 18 | 26 | 56 |
| 4 | Athletic Bilbao | 27 | 13 | 10 | 4 | 45 | 24 | 21 | 49 |
| 5 | Villarreal | 26 | 12 | 8 | 6 | 48 | 36 | 12 | 44 |
| 6 | Real BetisBetis | 27 | 11 | 8 | 8 | 35 | 33 | 2 | 41 |
| 7 | Mallorca | 27 | 10 | 7 | 10 | 26 | 33 | -7 | 37 |
| 8 | Rayo Vallecano | 27 | 9 | 9 | 9 | 29 | 29 | 0 | 36 |
| 9 | Celta Vigo | 27 | 10 | 6 | 11 | 40 | 41 | -1 | 36 |
| 10 | Sevilla | 27 | 9 | 9 | 9 | 32 | 36 | -4 | 36 |
| 11 | Real Sociedad | 27 | 10 | 4 | 13 | 23 | 28 | -5 | 34 |
| 12 | Getafe | 27 | 8 | 9 | 10 | 23 | 22 | 1 | 33 |
| 13 | GironaGirona | 27 | 9 | 6 | 12 | 35 | 40 | -5 | 33 |
| 14 | Osasuna | 26 | 7 | 12 | 7 | 32 | 37 | -5 | 33 |
| 15 | Espanyol | 26 | 7 | 7 | 12 | 25 | 37 | -12 | 28 |
| 16 | Valencia | 27 | 6 | 9 | 12 | 30 | 45 | -15 | 27 |
| 17 | Leganes | 27 | 6 | 9 | 12 | 24 | 40 | -16 | 27 |
| 18 | AlavesAlaves | 27 | 6 | 8 | 13 | 30 | 40 | -10 | 26 |
| 19 | Las PalmasLas Palmas | 27 | 6 | 6 | 15 | 30 | 45 | -15 | 24 |
| 20 | Real ValladolidValladolid | 27 | 4 | 4 | 19 | 18 | 62 | -44 | 16 |
| > La Liga Full Table | |||||||||
