Russian Federation has also rejected the USA accusation that it persuaded Venezuelan leader Nicolas Maduro to abort his plans to flee to Cuba.
Authorities have also issued 18 arrest warrants against "civilians and military plotters", according to Attorney General Tarek William Saab.
The worldwide Contact Group on Venezuela, which met in Costa Rica on Tuesday, announced it would send a high-level mission to the crisis-racked country to monitor humanitarian aid distribution and encourage talks.
In April, following a similar request from the Supreme Court, the Constituent Assembly approved a measure allowing for a future trial of Guaido - who in January invoked the constitution to assume an interim presidency.
Maduro was getting "weaker and weaker" after years of protests against his regime, Guaido said, painting a picture of a leader surrounded by the last vestige of support in his Miraflores presidential palace.
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The Constituent Assembly has said it will strip the immunity of any lawmakers who backed the April 30 coup attempt.
He rejected suggestions that his opposition movement was flatlining, however.
At the state department, Vice President Mike Pence announced new incentives to persuade the Venezuelan military to abandon Maduro.
"I think the only one who really hurts himself is Maduro".
Mr Guaido is challenging the legitimacy of President Maduro.
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After his failed attempt to overthrown Maduro, Guaido welcomed the discussions of military options in the USA, calling them "great news", as he spoke to The Washington Post. "But then we see the way Maduro has been dealing with the situation, and we don't feel scared anymore".
Russian Federation has had deep military cooperation with Venezuela over the years, including supplying weapons and aircraft.
Without using such antagonistic language, Guaido said there could be a case to seek "foreign co-operation to overcome the unprecedented crisis Venezuela is going through".
Mexican President Andres Manuel Lopez Obador also said that his country will adhere to its constitution and the principles of non-intervention, self-determination of the people and peaceful settlement. Last week, Guaido once again failed to persuade military officials to join him against Maduro, and fewer people joined him in his rallies.
For now, it's offering aid and ramping up diplomatic pressure.
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Pence also pledged that the United States would work with other nations and lenders on trade finance and credit to create jobs and fight poverty in Venezuela once Maduro departs office.