Sir Michael went on that there must now be a longer-term solution to the conflict that does not involve Mr Assad, adding: "Someone who uses barrel bombs and chemicals to kill his own people simply can not be the future leader of Syria".
"Once the [IS] threat has been reduced or eliminated, I think we can turn our attention directly to stabilising the situation in Syria".
"By proxy Russian Federation is responsible for every civilian death last week", Fallon, whose government voiced support for US President Donald Trump's decision to target the Syrian air base, wrote in the Sunday Times newspaper.
"But we hope that will not be necessary". He said Russian Federation is "not convinced" of accusations leveled against the Syrian regime.
Tillerson is expected in Moscow for talks with Russian officials on Wednesday, under the twin clouds of Russia's alleged USA election meddling and its possible support for the Syrian regime's chemical weapons attack.
Ms Haley's comments came as Mr Tillerson said he saw no reason for Russian Federation to retaliate over USA missile strikes on a Syrian air base last week.
Turnbull's comments reiterate support he expressed on Friday for the United States military action in Syria following the "abhorrent" chemical weapons attack.
It is not immediately clear who was responsible for the strikes on Friday and Saturday in Khan Sheikhoun, but only Russian and Syrian aircraft have been bombing the rebel-held areas of Idlib province.
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Her comments, made during an interview with CNN on Saturday (8 April), signal a turnaround from the earlier stance of the United States that driving out Isis was a bigger priority in Syria than Assad's ouster.
"He should be saying to the Russians just how appalling this situation is and the role they should play", he said. "And Russia was never part of the targeting".
The US is "disappointed but not surprised" at Russia's response to its strikes on a Syrian air base suspected of storing chemical weapons, said US Secretary of State Rex Tillerson.
"We deplore Russia's continued defence of the Assad regime, even after the chemical weapons attack on innocent civilians", he said.
Prime Minister Malcolm Turnbull said the Assad regime must be brought into line after last week's chemical gas attack.
Syrian regime media reported nine civilians dead at the military site, including four children.
While threatening further strikes, the USA envoy also said it was time to press on with a political solution to the six-year war.
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