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Sony Pictures had previously announced that the next two instalments of the series would be filmed back-to-back, Ain’t It Cool News reports.
However, the director insisted that there is no truth to the statement.
"No-one's talked to me about making part five at this moment," he said. "Right now I'm hoping to make part four."
Raimi said that Spider-Man 4 is still in the planning stages and the production team are "talking about the story right now".
He added: "Whenever the picture comes out we want to make sure we were shooting above the bar as it currently stands as far as visual effects go and we may or may not make that, but that will be my team's goal when we start."
The movie is due to hit cinemas on May 6, 2011.
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