Asked if Brexit was in peril, the spokesman added: “No.”
Mr Sunak’s press secretary also highlighted Mr Sunak’s Brexiteer credentials.
She said: “We have a Prime Minister who championed Brexit before it was in his career interest to do so because he believes in it passionately.
“We are very focused on making a success of it.”
Mrs von der Leyen’s comments came in an interview at a Politico awards ceremony on Tuesday night in the Belgian capital.
Asked whether Britain could ever rejoin the EU, Ms von der Leyen said: “I must say, I keep telling my children: ‘You have to fix it. We goofed it up, you have to fix it.’
“So I think here too, the direction of travel – my personal opinion – is clear.”
She also described the Windsor Framework, signed by her and Mr Sunak in a bid to resolve issues with post-Brexit trading arrangements in Northern Ireland, as “a new beginning for old friends”.
It comes after Lord David Cameron, who made a sensational return to politics as Foreign Secretary, called for the UK to be a “friend, a neighbour and the best possible partner” to the EU.
But the former prime minister’s remarks prompted a backlash from some Tory Brexiteers.