Greece and its creditors will reach a deal to release the next tranche of its €86 billion bailout "in the coming days", a senior EU official said after talks in Brussels.
"Staff level agreement to be finalised in coming days, including the contingency mechanism," said Valdis Dombrovskis, the EU Commission's vice-president in charge of the euro.
It follows a meeting of the Eurogroup, the eurozone's 19 finance ministers.
The "contingency mechanism" is understood to refer to extra reforms that will kick in if Greece misses its spending targets in 2018.
Mr Dombrovskis also tweeted that debt relief for Greece - a key demand of the IMF but opposed by Germany - would be discussed by officials who would report back to the ministers at their next meeting on May 24th.
Eurogroup chief Jeroen Dijsselbloem separately told a press conference that the Greek parliament's approval of fresh reforms late Sunday "paves the way for successful completion of the first review" of last July's bailout.
Mr Dijssselbloem said earlier that he hoped to reach a deal on debt relief at the May 24th meeting.
The package of reforms passed in Athens earlier today was required by Greece's international creditors to free up more than €5 billion from its latest bailout.
The International Monetary Fund believes Athens must get debt relief for its economy to develop and wants the discussions to focus on capping annual servicing costs at around 15% of GDP or less.
Germany believes Greece can do without debt relief for now, especially as it does not have to service its debt until after 2022, when a 10-year grace period expires.
Earlier today, Greek politicians passed unpopular pension and tax reforms that aim to ensure Greece will attain savings to meet an agreed 3.5% budget surplus target before interest payments in 2018, helping it to regain bond market access and make its debt load sustainable.
"We have an important opportunity before us for the country to break this vicious cycle, and enter a virtuous cycle," Greek Prime Minister Alexis Tsipras earlier told parliament during a debate on the reforms.