The 30-year-old central midfielder is a good player, but the Englishman has not been at his best so far this season.
West Ham have struggled in the opening weeks of the 2017-18 Premier League campaign and so has Noble.
The former England Under-21 international is the club captain, but is it time for manager Slaven Bilic to drop him?
Liverpool legend Lawrenson has given his take on Noble’s situation, and has suggested that based on performances he does not have a place in the West Ham midfield.
“Bilic has a big decision to make there," Lawrenson told BBC Sport. "Noble is looking a bit long in the tooth.
"He is obviously such a top professional and seems a brilliant bloke to have around the club too - the type who would run things in the dressing room, all those kind of things - but it boils down to whether he still warrants a place in the side.
"Probably on performances, you would have to say no. The midfield area is an issue for them, which is why they were trying to sign Sporting Lisbon's William Carvalho, even though Sporting denied it.
"But even without Carvalho on board, there might no longer be any room for Noble in the team.”
West Ham will return to action on Saturday afternoon when they take on West Bromwich Albion away from home at The Hawthorns in the Premier League.