Hundreds of Chavez supporters rallied outside parliament on Saturday following an appeal by Mr Cabello.
Mr Cabello's loyalty was rewarded, serving as interior and justice, infrastructure and public works minister.
In address broadcast on TV, Mr Cabello said he had visited Mr Chavez in Cuba on Friday.
Mr. Cabello, meanwhile, was nowhere to be seen and had not issued a public statement backing Mr. Maduro.
Mr Cabello became the de facto President, but it was one of the shortest terms of office on record.
National Assembly head Diosdado Cabello recently said that the ceremony could be delayed.
In his own Twitter message, Arreaza also hinted that the election results were sobering, though he used softer language than Cabello.
National Assembly President Diosdado Cabello has said that he has no intention of assuming power if Chavez is not sworn in.
His wife, Marleny Contreras, is a congresswoman and his brother, Jose David Cabello, is currently the head of Venezuela's tax authority Seniat.
Cabello, the national assembly president, is one of several top officials from Chavez's party who argue that the inauguration can be postponed.
Senior leaders including Vice-President Nicolas Maduro, the head of the National Assembly Diosdado Cabello, and Oil Minister Rafael Ramirez have been travelling to and from Cuba in recent weeks.
The opposition boycotted Mr Maduro's swearing-in on Friday, claiming that - under the constitution - the speaker of the National Assembly, Diosdado Cabello, should be the one to take over as acting president.
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