The media speculated that Sirisena may form a caretaker government with the support of Rajapaksa's new political party.
Sirisena, the leader of the Sri Lanka Freedom Party (SLFP) and Prime Minister Ranil Wickremesinghe the leader of the United National Party (UNP) are currently in a national unity government arrangement since 2015.
"It is time that the SLFP stop propping up government," Rajapaksa told reporters, adding that "We will not join in any alliance with UNP as a partner".
Sirisena, according to the media had reportedly told Rajapaksa that it was difficult to work with Wickremesinghe as prime minister.
In April, Wickremesinghe had successfully defeated a joint Sirisena-Rajapaksa move to oust him.
The premier was able to record a resounding victory in the no trust motion with the support of Tamil and Muslim minority parties.
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