The National Super Alliance (NASA) co-principals have organised a crisis meeting set for January 15 to iron out differences that have emerged within the coalition.
Speaking on Saturday, co-principal Moses Wetangula outlined that the meeting would involve only members of the top leaders of the coalition.
A leader of Kalonzo's party had distanced itself from the plan to inaugurate Mr Odinga as the people's president stating that it is against the law.
"As someone with a legal background, I will like to uphold the law. I have not been part of any process that is arranging for the swearing in of Raila Odinga. I will hesitate to endorse any 'swearing in' because that is a recipe for chaos," deputy party leader Farah Maalim stated.
Speaking from Trans Nzoia county, however, Senator Wetangula emphasised that the coalition was still committed to ensuring the leaders are sworn in.
"I urge all those who can make it to Nairobi to come because we won the election and we must swear in Raila Odinga," he urged.
He added that the invitation to hold talks with Jubilee leaders was still on, failure to which the Opposition would move on to establish an alternative government and swear in the people's president.
"We as NASA, are ready to dialogue with them. Failure to that, we will continue with our plans," he stated.
Former Nairobi gubernatorial candidate Miguna Miguna accused the Senator of warming up to the ruling party in order to deter the process of swearing in Mr Odinga.
Mr Miguna detailed alleged secret meetings between Jubilee party officials and the NASA leaders in a series of tweets posted on Saturday.