Expectations of a confidence vote, which could lead to early elections, heightened after last Friday's parliamentary vote in favor of the 86 billion euro three-year (USD 93 billion) bailout passed thanks to opposition support and saw dozens of lawmakers in Tsipras' Syriza party dissent.
Without the bailout, Greece faces defaulting on its debts and eventually being forced out of Europe's joint currency, the euro.
Skourletis added that early elections may also be necessary in light of the political instability.
The government has said its priority is currently securing the bailout funding, which it needs by Thursday to meet a large debt repayment to the European Central Bank, and that any further decisions on the political situation will be taken from then on.
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Syriza's coalition government with the small nationalist Independent Greeks was premised on a pledge to repeal austerity measures tied to Greece's two previous international bailouts.
Instead, after months of floundering negotiations with international creditors, the government accepted demands for steep tax hikes and deep spending cuts.
The about-face has angered an increasing number of Syriza lawmakers, including prominent members such as former ministers of finance Yanis Varoufakis, and energy Panagiotis Lafazanis. Both voted against the government.
Last week Lafazanis who was replaced as minister in a reshuffle last month after opposing the government in a previous bailout-related vote and another 12 left-wing politicians announced they were creating a new anti-austerity movement, although Lafazanis stopped short of quitting the party.