"We are in the final stretch to conclude an agreement with the institutions," Tsipras said in televised remarks.
Read more from our special coverage on "GREECE CRISIS"
"Despite the difficulties, we hope this agreement can end uncertainty over the future of Greece and the eurozone," he added.
Greece needs a deal that will unlock bailout funds by August 20, when it must repay some 3.4 billion euros (USD 3.7 billion) due to the European Central Bank.
The Greek economy is also suffering from the effects of capital controls imposed last month to avert a bank run, a procedure that has badly disrupted trade.
The Athens stock exchange, which opened with a record drop on Monday after a five-week shutdown, was shedding 4.23 per cent in afternoon trade today.
Bank shares have been the hardest hit, trading near the maximum allowed drop of 30 per cent for three straight days.
European Commission head Jean-Claude Juncker said today that agreement on the bailout was possible by August 20.
"All the reports I am getting suggest an accord this month, preferably before the 20th," Juncker told AFP in an interview.
Finance Minister Euclid Tsakalotos yesterday told journalists the high-stakes talks were going "at least as well as we expected", and that the possibility of an emergency loan for the ECB payment has not figured in the discussions.
Greek government spokeswoman Olga Gerovasili on Wednesday said the talks would continue to the end of the year, however.
"We will have implementation legislation, and points on which the negotiations will not even have ended until the end of the year, such as on labour and non-performing loans," she said.
Tsipras is under pressure from a sizeable minority in his radical Syriza party who say the rescue package he agreed to last month piles further austerity on a weakened economy and goes against the government's campaign pledges.
Today the prime minister said Greeks had to "adapt to the new circumstances" but insisted that his administration would continue to negotiate with the country's creditors to secure a "fair" distribution of tax pain.
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