The third-choice Everton keeper is also out of contract in the summer.
The Spaniard wants to leave the Hammers in January so Slaven Bilic needs to be on the lookout for a new goalkeeper.
Everton goalkeeper Joel Robles was impressed with the performances of Tottenham Hotspur star Hugo Lloris and Real Madrid ace Keylor Navas in the Champions League.
Joel Robles has not played a minute of football for Everton this season and a move to Celtic would hand him a fresh start.
Joel Robles reportedly wants to leave Everton and Nottingham Forest may offer him the chance to do just that.
Joel Robles was expected to return to La Liga this summer after rejecting a contract extention at Everton.
Everton have decided to allow Joel Robles to leave and Middlesbrough are looking for a goalkeeper.
The Everton goalkeeper would be a fantastic addition to the Celtic squad this summer.
Newcastle United should try and sign the Everton goalkeeper this summer.
Everton's Joel Robles and Gareth Barry have been linked with exits, with West Bromwich Albion interested in the latter it seems.
The Leicester City goalkeeper could be on the move at the end of the season but Everton already have a goalkeeper at the top of his game.
Ronald Koeman failing to sign a top class goal-keeper almost undermined Everton's progress but, in recent weeks, Joel has stepped up to the plate.
Everton were thrashed 4-0 at Anfield by Liverpool, and had a man sent off.