Speaking to NPR, Obama also said there are more differences than similarities when it comes to Britain's election compared with the current presidential election in the United States where discontent has fueled Republican Donald Trump's rise.
Obama says Europe hasn't fared as well as the United States since the financial crisis that struck in 2008, and there was some belief that the European Union was moving too fast and without as much consensus as it should.
"I think that the best way to think about this is, a pause button has been pressed on the project of full European integration," Obama said in the interview, parts of which aired today.
Obama acknowledged some similarities between Britain's election and the presidential election in the US.
He says people have been able to into fear that people may have about losing control and to offer "vague, nostalgic feelings about how, you know, we'll make Britain great again, or we'll make America great again."
But Obama said he didn't believe Trump was "a legitimate spokesperson for a populist surge from working class people on either side of the Atlantic.