He has not explained how an EU-US free trade deal might impact on EU social protection policies, which currently cost the EU many billions through support for farmers and projects to help poor communities.
He claimed that such a deal would give each European an extra 545 euros (£443; $742) – an exaggeration, according to a fact check by Eurovision, which hosted the debate.
He has also defended the Common Agricultural Policy, saying agriculture employs about 30 million Europeans. But the UK government is among the many critics who say the CAP is wasteful and want more of the EU budget spent on digital technologies, research and investment in small businesses.
Mats Persson, director of the Open Europe think-tank, says Mr Juncker is associated with the EU of the 1980s and 1990s, echoing a criticism attributed to Prime Minister Cameron.
After an election that saw a surge in support for Eurosceptic parties, that connection with past EU policies may be a disadvantage, Mr Persson told the BBC.
However, Mr Juncker is not vague about the political risks of taking tough economic decisions. He once said, “We all know what to do, we just don’t know how to get re-elected after we’ve done it.”