Zack Polanski has said his previous target of scaling up the Greens to 30–40 MPs is "starting to look unambitious".
The Green Party leader says attempting to be prime minister at the next general election is "not for me right now".
But Polanski says that given the party's soaring membership - they now have more members than the Lib Dems and the Conservatives - "things are changing rapidly for me and the Green Party".
He tells Paste BN: "Now, 30 to 40 MPs is starting to look unambitious.
"I can't give you an exact number yet because we've got to go away, work the numbers and go, 'actually, if we keep growing at this pretty much exponential rate, what are our ambitions at the next general election?'
"But right now, that isn't being prime minister. It's just making sure we get as big a block of green MPs as possible."
Pushed on what the Green Party might look like following the next general election, he adds that "we definitely want to hold the balance of power".
He says: "What I want for this country is to make sure that we are taxing wealth more than we're taxing work.
"I want to make sure we have action on the climate crisis, and I want to bring in proportional representation."
But he rules out going into a coalition with Sir Keir Starmer.
Polanski says: "This is a man who has perpetrated an ongoing genocide in Gaza. He ran on the coattails of Jeremy Corbyn, and I would say he ditched every single pledge he could. So I think the man's proven to be untrustworthy."
He also adds there's "no way I'd do a deal with Nigel Farage".
He's then challenged on who would have to lead the Labour Party for him to work with them.
Polanski responds: "I think Labour membership and people who are thinking about voting Labour in the past are increasingly voting with their feet and moving over to the Green Party anyway."