Adm. Diego Molero also said that Venezuela's military takes advice from Cubans but that they do not influence its decisions.
Molero's statements during a television talk show appear to reflect official concern over the opposition's recent release of a recording allegedly showing an influential pro-government figure discussing coup rumors with a Cuban intelligence officer, a conversation that seemed to highlight Cuban influence in the oil-rich nation.
In the lengthy conversation, the purported voice of influential TV talk show Mario Silva discusses a power struggle between Maduro and National Assembly president Diosdado Cabello, whom he accuses of conspiring against the president amid rumors of "saber rattling" in the military.
Maduro squandered a double-digit lead in less than two weeks, but defeated challenger Henrique Capriles by a razor-thin margin on April 14 in an election to replace the late President Hugo Chavez.
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Today, former Vice President Jose Vicente Rangel asked Molero on his talk show if "democratic and institutional stability is guaranteed in Venezuela," if a coup attempt were possible.
"I am a loyal guarantor of the constitutional concept that Maduro remain in the government until the people decide otherwise," Molero said, adding for emphasis: "It's impossible that such an idea would go through my head."
Capriles has repeatedly complained about what he calls Cuba's growing influence over Venezuela's government and military under Maduro, whose first postelection foreign trip was to Havana.
Cabello has denied plotting against Maduro and called for unity among the political heirs of Chavez, who are struggling with widespread discontent over worsening food shortage, rampant power outages and decreasing oil production.