His remarks came as US military advisers began meeting with Iraqi commanders combatting an offensive that has overrun swathes of five provinces, killed nearly 1,100 people, displaced hundreds of thousands and threatens to tear the country apart.
And while security forces continued to repel assaults on critical towns and infrastructure, fighters from Al-Qaeda's Syrian franchise, Al-Nusra Front, made a local alliance with the jihadist group leading the charge in Iraq, bolstering its offensive.
The incumbent premier, whose bloc won by far the most seats in April, said such a move was "an attempt by those who are against the constitution to eliminate the young democratic process and steal the votes of the voters."
He warned against exploiting "what the country is facing... In order to achieve political gains."
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Though Washington has pressed for Iraq's fractious political leaders to unite in the face of the two-week campaign led by the Islamic State of Iraq and the Levant (ISIL) jihadist group, they have shown little sign of coming together.
However, US President Barack Obama has so far refrained from carrying out air strikes on the insurgents, as urged by Maliki.
Washington has stopped short of calling for Maliki to go, but there is little doubt it feels he has squandered the opportunity to rebuild Iraq since American troops withdrew in 2011.
Kerry is to hold meetings with Middle East allies in Paris Thursday to brief them on his talks in Iraq.