It comes after fresh unrest over Mr Cameron's pledge to get a grip on Europe.
Mr Cameron has previously said he wants EU rules in place to block movement from new EU countries until their average income is in line with western European nations.
During the last census, Albania had a population of 2,931,977, currently 17 per cent of whom are unemployed. The average monthly wage is £305.
"I think that's what the prime minister believes as well. But if he does, how can he possibly agree with this arrangement?"
I would not welcome additional countries having free movement into this country
Rebel Tory MEPs hoping to block Jean-Claude Juncker from becoming president, have raised fears over David Cameron's ability to stop him.
Angela Merkel, the German chancellor, is in favour of Mr Junker taking the leading role, but David Cameron needs her support to be able to force through change in the European Union and regain some powers.
Senior Conservatives have told Mr Cameron he must threaten to leave the EU if he doesn't get his way.
A Tory source told The Sunday Telegraph: "If David Cameron can't stop Junker how can we convince the public that he can deliver any meaningful reform in the renegotiation?"