Redknapp's hopes of bringing in a star striker appear to have stalled, with Spurs unwilling to break their strict wage structure to sign a forward of the calibre of Diego Forlan or Luis Fabiano from Spain.
Redknapp is in favour of moving to the 60,000-capacity Olympic Stadium after the Games because of the extra income generated.
"Most Champions League players are on massive wages, it's very difficult (to sign them)," Redknapp said.
"We don't pay massive wages. We've got a stadium that holds 36,000 people.
"That's our problem at the moment, we can't make the next step.
"We're that close, but making that extra step is difficult, because top players demand top wages, that is a simple fact, and we can't put ourselves in a position where we pay that sort of money.
"If we had a 60,000 or 70,000 stadium it would be different. We can't go that extra yard at the moment.
"We've got a great squad of players, but if you start talking about getting a top striker in, they cost incredible money."