Only 22 percent of respondents currently consider the option of Grexit possible within the next six months, the poll revealed.
In March, 59 percent of respondents supported Grexit, while only 23 percent at that time considered the country should remain in the European monetary union.
In August, Greece's international creditors, including the International Monetary Fund, the European Central Bank and some eurozone nations, approved a third bailout package for Athens, which accumulated a multibillion-euro debt after the 2008 world economic crisis. Greece received a $94-billion bailout package in exchange for additional reforms and austerity measures, such as pension cuts and tax hikes.
Greece's massive debt to its creditors triggered speculation that the country might leave the eurozone.
Germany is thought to be one of Greece's biggest lenders.