Schweinsteiger has been linked with the likes of Manchester United and Chelsea in recent months.
The 26-year-old’s contract at Bayern is set to expire in the summer of 2012.
“I love the kind of speed of the English game but I don’t know what will happen with me,” Schweinsteiger said in The Sunday Times.
“I have a contract until 2012 and we’ll see.
“What I love is the atmosphere in English stadiums. When we played last year in Manchester it was fantastic.
“My brother is a big fan of Man U and he always says, ‘Go to Man U, go to Man U.’ I say, ‘I can’t, I can’t.”
He laughed: “Maybe they can swap me for Rooney.”
He added: “I watch the English games on TV and I like the Chelsea style at the moment. They’re very strong.”