The former Bolton and Blackburn boss arrived in east London in the summer of 2011 and has since taken them from the Championship back up into the Premier League, where they currently lie in 12th place on 33 points.
Despite that success, the West Ham board have been reluctant to extend Allardyce's current contract at the club, which expires at the end of season, instead preferring to wait until then to discuss terms.
|25/1||The Hammers are 25/1 with Bet365 to be relegated from the Premier League this season|
"Staying in the Premier League is everything about my future," Allardyce told reporters. "That is all I have had to say over the last few weeks.
"It is where I want to be and where I want to apply my skills because I like the euphoria, excitement and pressure that it brings.
"It is the best league in the world and the most entertaining, so plying your trade in it is what you want to do."