In a poll published on Monday, conducted by Viavoice for the French newspaper Libération, 64 per cent of those surveyed say they would prefer the European Union to centre around core countries, such as the euro countries, or the six founder-member states: France, Germany, Italy, Netherlands, Belgium and Luxembourg.
Twenty per cent of those polled are happy with the current membership and a mere seven per cent favour further EU enlargement.
49 per cent associate the EU with something negative while only 45 say for them it represents something positive.
However, only 28 per cent would like to see France leave Europe while 60 per cent are actively against leaving the EU.
The survey was carried out on a representative sample of 1,011 people of different ages between the 11th and 16th April.