British and German voters mostly back the idea of national parliaments being able to block new EU laws.
A survey published on Wednesday and quoted by EUObserver shows 73% of Britons and 58% of Germans would welcome such a reform.
Current legislation allows for proposals to be sent back for reconsideration to the European Commission, but only if one-third of national parliaments agree.
Voters from the two countries differ in their judgment in which areas the EU should have a better say. German respondents answered that environmental protection, climate change, and trade, as well as issues of deepening the integration among member states, should be dealt with in Brussels.
Britons, on the other hand, would rather like to see decisions on EU migrant's access to benefits, employment and criminal justice laws, and regional subsidies confined to a national level.
The poll, put together by the campaign group Open Europe, came hours ahead of German Chancellor Angela Merkel's visit to London on Thursday.
British politicians expressed hope Merkel could side with their country on the prospect of a re-negotiation of EU membership terms for the UK.