US President Donald Trump has said military intervention could be “an option” as nations continue to call for President Maduro to stand down.
The United States, Canada and several Latin American countries have chosen to recognise opposition leader Juan Guaido as the country’s leader.
In an interview with CBS on Sunday, the US president said that military intervention was being considered.
His comments come after Russia warned against “destructive meddling.”
Mr Trump said that action was “an option” and added that Mr Maduro had requested a meeting with him months ago.
“I turned it down because we’re very far along in the process. So I think the process is playing out.”
The Trump administration last week issued crippling sanctions on Venezuelan state-owned oil firm PDVSA, a key source of revenue for the country suffering medicine shortages and malnutrition.
Mr Maduro, who has overseen an economic collapse and the exodus of millions of Venezuelans, still maintains the powerful backing of Russia, China and Turkey, and the critical support of the military.
Russia, a major creditor to Venezuela in recent years, quickly urged restraint.
"The international community's goal should be to help (Venezuela), without destructive meddling from beyond its borders," Alexander Shchetinin, head of the Latin America department at Russia's Foreign Ministry, told Interfax.
France and Austria said they would recognize Mr Guaido if Mr Maduro did not respond to the European Union's call for a free and fair presidential election by Sunday night.
Mr Guaido’s allies plan to take a large quantity of food and medicine donated by the United States, multilateral organizations and non-profit groups across the Colombian border into the Venezuelan state of Tachira this week, according to a person directly involved in the effort.
The group has not yet determined which border point they will cross, said the person, who asked not to be identified because he is not authorized to speak publicly about the issue.
It is unclear whether Mr Maduro's government, which denies the country is suffering a humanitarian crisis, will let any foreign aid through.
Mr Maduro on state television promised peace for the country without specifically responding to Trump.
Tens of thousands of people thronged the streets of various Venezuelan cities on Saturday to protest Mr Maduro's government.
"In Venezuela, there will be peace, and we will guarantee this peace with the civil military union," he said in the company of khaki and black-clad soldiers who were earlier shown carrying guns and jumping from helicopters into the sea.
Venezuela's ambassador to Iraq, Jonathan Velasco, became the latest official to recognize opposition leader Mr Guaido this weekend.
Air Force General Francisco Yanez in a video also called on members of the military to defect but there were no signs the armed forces were turning against Mr Maduro.
Venezuela has as many as 2,000 generals, according to unofficial estimates, many of whom do not command troops and whose defection would not necessarily weaken the ruling socialists.
The police have also fallen in line with Mr Maduro.
A special forces unit called FAES led home raids following unrest associated with opposition protests in January, killing as many as 10 people in a single operation in a hillside slum of Caracas.
Additional reporting by agencies.
