Thursday's strike "was related exclusively to the most recent horrific use of chemical weapons", Secretary of State Rex Tillerson told ABC News' George Stephanopoulos on Sunday.
The statement, released by the Ilam al Harbi (War Media) outlet, apparently mocked former President Obama's warning to Assad in 2012 not to cross a "red line" with his use of chemical weapons or face a military response.
President Trump last week ordered the US military to conduct airstrikes on the Syrian airfield believed to have launched a chemical weapons attack that killed at least 70 civilians.
Rubio has long argued that Assad needs to be removed from power in Syria.
On CBS News' "Face the Nation", Tillerson also said that the first priority for the USA remains defeating Islamic State. Tillerson said at the time that "steps are underway" to form an global coalition that would seek to remove al-Assad through some kind of negotiated settlement.
"All the external parties and their forces must withdraw from Syria".
"There's not any sort of option where political solution is going to happen with Assad at the head of the regime, if you look at his actions if you look at the situation, it's going to be hard to see a government that's peaceful and stable with Assad", she said on CNN's "State of the Union".
Even so, Tillerson said, without naming North Korea, that "if you violate worldwide agreements, if you fail to live up to commitments, if you become a threat to others, at some point a response is likely to be undertaken".
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"Part of the discussions when I visit Moscow next week is to call upon Foreign Minister Lavrov and the Russian government to fulfill the obligation it made to the global community when it agreed to be the guarantor of the elimination of the chemical weapons; and why Russia has not been able to achieve that is unclear to me".
"I find it very disappointing but sadly I have to tell you not all that surprising", Tillerson added. "And yes, that will be part of the discussions".
Moscow has been a steadfast ally of the Syrian government and has defended it against claims of chemical weapons use in front of the UN Security Council.
Rouhani said allegations that Assad's regime was behind a chemical weapons attack were "baseless" and suggested it was carried out by rebel groups to influence global public opinion.
"Yes", the top diplomat answered.
Late last month, both Haley and Tillerson said separately that the United States was not committed to removing Assad.
"We will continue to talk with them about how this undermines any hope of improving relations, not just with the United States, but it's - it's pretty evident that they are taking similar tactics into electoral processes throughout Europe and so they're really undermining any hope for improved relations with many European countries as well", he said.