Not only ordinary Venezuelan people have been fleeing poverty and hyperinflation in the Latin American country in recent years.
Abrams, a long time Republican foreign policy player who helped steer Ronald Reagan's controversial backing of anti-communist forces in Central America - said that countries should only deal with Guaido.
Escorted by police motorcycles, the trucks pulled into Cucuta, where Venezuelans were waiting to see whether Maduro's government would clear the border road he has blocked and allow the humanitarian shipments to pass.
The possible use of US military force to oust Venezuelan President Nicolas Maduro raises concerns about the possible costs in lives and unintended consequences that may come from committing American troops to fight and die in another foreign conflict. Some Maduro critics say the Venezuelan people would welcome a US led regional effort to force the entrenched leader from power.
The U.S. official said that Washington had every tool available to apply pressure on Maduro and his associates "to accept a legitimate democratic transition". "You can be sure that it won't disturb Venezuela".
"He's got friends in places like Cuba and Russia", Abrams said. "Venezuela is not suffering the humanitarian crisis fabricated by Washington over the last four years to justify intervening in our country".
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Maduro has criticized Trump for threatening the use of military force in his country and said Venezuelans would resist US aggression.
He said the supplies would be delivered to Venezuelans when it was "logistically safe" to do so.
Maduro has rejected the aid convoy as a "political show" and vowed to remain in office despite dozens of nations around the world disavowing his leadership and recognizing opposition leader Juan Guaido as the country's rightful head of state. Opposition leader Juan Guaidó, the leader of the Venezuelan legislature, declared himself interim president and called for fair elections in response to the turmoil caused by Maduro's socialist government.
So, can global pressure change the situation in Venezuela?
"Maduro has proven he will manipulate any calls for negotiations to his advantage and he has often used so-called dialogues as a way to play for time", he said.