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 | 5 | 5 | 0 | 0 | 17 | 4 | 13 | 15 |
| 2 | Real Madrid | 5 | 3 | 2 | 0 | 9 | 2 | 7 | 11 |
| 3 | Atletico MadridAtletico | 5 | 3 | 2 | 0 | 9 | 2 | 7 | 11 |
| 4 | Villarreal | 5 | 3 | 2 | 0 | 11 | 8 | 3 | 11 |
| 5 | Athletic Bilbao | 6 | 3 | 1 | 2 | 8 | 6 | 2 | 10 |
| 6 | Celta Vigo | 5 | 3 | 0 | 2 | 13 | 10 | 3 | 9 |
| 7 | Real BetisBetis | 5 | 2 | 2 | 1 | 5 | 4 | 1 | 8 |
| 8 | Mallorca | 6 | 2 | 2 | 2 | 4 | 4 | 0 | 8 |
| 9 | AlavesAlaves | 5 | 2 | 1 | 2 | 7 | 6 | 1 | 7 |
| 10 | Rayo Vallecano | 5 | 2 | 1 | 2 | 7 | 6 | 1 | 7 |
| 11 | GironaGirona | 5 | 2 | 1 | 2 | 8 | 8 | 0 | 7 |
| 12 | Espanyol | 5 | 2 | 1 | 2 | 5 | 5 | 0 | 7 |
| 13 | Osasuna | 5 | 2 | 1 | 2 | 6 | 10 | -4 | 7 |
| 14 | Sevilla | 5 | 1 | 2 | 2 | 4 | 6 | -2 | 5 |
| 15 | Leganes | 6 | 1 | 2 | 3 | 3 | 7 | -4 | 5 |
| 16 | Real Sociedad | 6 | 1 | 1 | 4 | 3 | 7 | -4 | 4 |
| 17 | Real ValladolidValladolid | 5 | 1 | 1 | 3 | 2 | 13 | -11 | 4 |
| 18 | Getafe | 5 | 0 | 3 | 2 | 2 | 4 | -2 | 3 |
| 19 | Las PalmasLas Palmas | 5 | 0 | 2 | 3 | 6 | 10 | -4 | 2 |
| 20 | Valencia | 5 | 0 | 1 | 4 | 3 | 10 | -7 | 1 |
| > La Liga Full Table | |||||||||
