West Ham manager Sam Allardyce says the club could grow to the size of Manchester United or Arsenal if they move to the Olympic Stadium.
The Hammers want to take over the 80,000-capacity venue after the Paralympic Games end next month.
And Allardyce claims it could see West Ham rival Old Trafford and Emirates Stadium for size and atmosphere.
"We could be that size in a brand new stadium, with that atmosphere," he said.
West Ham are one of four bidders under consideration for the Olympic Stadium. An original deal for the club to lease the £486m stadium was scrapped last year amid legal wrangling.
Allardyce added: "It would be awesome to walk a team out on that pitch and say 'this is West Ham's new home and the creation of what could possibly be a new modern history hopefully'."
Upton Park, which has a 35,000 capacity, has been West Ham's home for the past 108 years.
Meanwhile, Allardyce says West Ham's move for winger Matt Jarvis is "stuck" as they have yet to agree a deal with Wolves.
Allardyce wants Jarvis for his team's new Premier League campaign, but Allardyce has written off signing the 26-year-old before Saturday's opening game with Aston Villa.
"For me, it is on the backburner because Saturday is the most important thing," said Allardyce.
"Then if it is to be done after Saturday we'll see where we are."
While Allardyce hopes to push through a deal for Jarvis, West Ham have all but conceded defeat in their attempt to sign Liverpool striker Andy Carroll.
The Hammers made an audacious bid to
prise the £35m England international
But Allardyce revealed: "We never agreed with Liverpool any deal to be able to speak to Andy Carroll to see if he would join us.
"Whatever deal we put forward to Liverpool was not agreed by Liverpool.
"He would have been a massive signing for us and, like everything else, when you see an opportunity you try to go for it."