The European Commissioner for Economic and Financial Affairs, Pierre Moscovici, said on Sunday he was confident an agreement between Athens and its creditors could be found at a meeting of euro zone finance ministers on Monday in Brussels.
Athens needs funds to repay 7.5 billion euros ($8.4 billion) of debt maturing in July.
"We are very close to an overall agreement," Moscovici told France Inter radio.
"Greece has assumed its responsibilities," he said, referring to measures on pension cuts, tax hikes and reforms adopted on Thursday by the Greek Parliament.
"I now wish that we, the partners of Greece, also take our responsibilities," he said.
Moscovici said his optimism over a deal was partly linked to the fact Germany was now aware of the need to find a structural solution to Greece's problems.
Greek Prime Minister Alexis Tsipras and German Chancellor Angela Merkel agreed during a call on Wednesday that a deal was "feasible" by Monday.