The Taoiseach, Mr Ahern is optimistic about the chances of agreeing a European Union constitution before Ireland hands over the presidency at the end of June.
In a speech to the upper house of the Czech parliament, Mr Ahern said although differences remain among member states, he was hopeful agreement on a treaty would be reached "shortly".
Consultation will begin shortly among the heads of state of the enlarged 25-member Union ahead of meeting in Ireland in June.
Signalling one last push for agreement before Ireland passes the presidency to the Dutch, Mr Ahern said he has asked that no new issues be tabled for discussion at the Intergovernmental Conference (IGC).
The chance of agreement looked bleak when Mr Ahern assumed the presidency of the Council of Europe last January but after consultations among member states that ended in March, the Taoisech indicated a deal was possible by June.
Spain and Poland, which were held responsible for holding up agreement during Italy's presidency, have changed government, and both new administrations have indicated a more positive approach to resolving difficulties.
Mr Ahern today said agreeing a constitution at the soon as possible was "vitally important", particularly in light of enlargement and new terror threats.
"It is perfectly reasonable to try to make sure that these new needs and circumstances are reflected in changes to the basic law of the Union," he said. "I am hopeful that we will agree a constitutional treaty shortly."