The 58-year-old led the Hammers to promotion via the Championship play-offs last term and the east London club currently sit ninth in the Premier League, having enjoyed a steady return to the top flight.
That, on top of his achievements at Bolton, convinced the midfielder that Allardyce should be at the top table.
"I think the boss deserves to be mingling with the top managers week in, week out," he told reporters.
|HAMMER AND TONGS|
|25/1||West Ham are 25/1 with Bet365 to finish in the Premier League's top six|
"After working with him for a long time I firmly believe he belongs in the Premier League and I’m a bit gutted he hasn’t been given that chance with a really top club.
"He has worked at top clubs but I mean a club that is always in the top four or five so he can have a go at the Champions League."