"I believe we are close. I believe that if no-one wants to undermine or torpedo [the talks] we are close to an accepted package," Tsipras was quoted as saying by media reports.
Rejecting the idea of snap elections in the event of the failure of the talks, Tsipras did not rule out the possibility of a referendum on a final deal.
"If the solution falls outside our mandate, I will not have the right to violate it, so the solution to which we will come to will have to be approved by the Greek people," he said.
He spoke as his country's ruling left-wing Syriza party tried to renegotiate the terms of Greece's 240-billion-euro bailout from the IMF and the EU. High on the agenda is the EU handing over the latest 7.2-billion-euro tranche of the bailout to Greece.
Finance Minister Yanis Varoufakis was sidelined from Greece's negotiating team after he was left isolated at an EU finance ministers' meeting in Latvia late last week. He even skipped a state dinner, tweeting a line from the late US President Franklin Roosevelt.
FDR, 1936: "They are unanimous in their hate for me; and I welcome their hatred." A quotation close to my heart (& reality) these days
— Yanis Varoufakis (@yanisvaroufakis) 26 апреля 2015
On Monday, Greek Deputy Foreign Minister Euclid Tsakalotos was put at the helm of a new group conducting talks with the country's international lenders.