Allardyce says the only way to be sure of his job is to start winning.
"The only way that I can relieve pressure on myself is to get results," said Allardyce on Tuesday.
"Even with the backing of David Sullivan and David Gold, their patience cannot last for ever if I continue to lose football matches. It is as simple as that.
"I have been appreciative of their support and backing, there is no doubt about that, but I have to deliver. I have to get the team winning as quickly as possible. We have got to stay in this league.
"The extra pressure is the magic of the Olympic Stadium but since I arrived I knew that was the ultimate business plan, to make sure West Ham are an established Premier League side when they go into this new arena."