The comments came a day after Greece and its global lenders made clear progress towards bridging differences over Athens's fiscal path in coming years, moving closer to a deal that would secure new loan disbursements and save the country from default.
When asked about his failure to pull Greece out of its debt crisis during his tenure as finance minister, Varoufakis blamed the so-called troika - the International Monetary Fund, the EU Commission and the European Central Bank - by intentionally sabotaging any debt-repayment agreement.
"(The review) will be completed, and it will be completed positively, without concessions in matters of principle", Tsipras told a meeting of his Syriza party.
In the light of current changes, the IMF board is trying to make a right decision: is the new chunk of rescue funds from the IMF will really helpful for the economic of Greece?The third bailout needed by mid-2018, and Germany always said that IMF's support is crucial for Greece.
New cuts - especially to pensions, which have already been reduced 11 times since the start of the crisis in 2010 - are hard to sell to a public worn down by years of austerity.
Responding in a statement, conservative New Democracy accused Tsipras of "preparing another about-turn", while targeting the "bad lenders" and political opposition in his speeches in a bid to convince his MPs to back the austerity being demanded by lenders.
Concerns about another Greek debt crisis have increased because of months of debate with the International Monetary Fund (IMF).
Eurogroup finance ministers, headed by Dijsselbloem, have ruled out more debt relief for Greece.
Breaking the deadlock in the coming weeks is considered paramount, with elections in the Netherlands on March 15 and France in the spring threatening to make a resolution even more hard.