The U.S. Air Force considers the incident to be an unsafe intercept, Martin reports.
But in a warning that the USA would protect its partners, Spicer said: "The Syrian regime and others in the region need to understand that we will retain the right of self-defense of coalition forces aligned against ISIS".
Australia has suspended military air operations in Syria, after Russian Federation said it would treat coalition aircraft as potential targets in response to the downing of a Syrian jet by the United States.
The Defence Ministry also said that it was suspending its interaction with the United States on preventing air incidents over Syria.
Chairman of the Joint Chiefs Gen. Joseph F. Dunford, Jr., in a conversation at the National Press Club in Washington, D.C. said that was not true.
Moscow condemned the US-led coalition's attack on the Syrian government military jet as an act of aggression and accused Washington of aiding terrorists.
The US military said there were no signs on Monday that the "deconfliction" channel had been suspended and that they were keen to defuse tensions.
The remarks came amid questions whether the strike - Iran's first in the Syrian war - had been effective. It also deployed about 780 military personnel.
On Tuesday, commander of Iran's Islamic Revolution Guard Corps (IRGC) said that Saudi Arabia has been behind June 7 terrorist attacks in Tehran.
Rebels are now on the back foot after regime advances with support from allies Russian Federation and Iran.On Sunday, Tehran for the first time fired missiles from its territory against IS positions in Deir Ezzor.
And that disagreement has constrained American leaders, who've made clear that any USA military activity in Syria avoid provoking an open confrontation between the US and Russian Federation, the world's two greatest nuclear powers.
Russian Federation has denied USA claims that a communication channel was used to issue a warning to the jet before it was shot down.
That took place near the Syrian city of Taqba, which has been the focus of fighting as USA -sponsored ground forces advance on the ISIS stronghold of Raqqa.
Clashes between Syrian troops and the SDF would escalate tensions and open a new front line in the many complex battlefields of the civil war, now in its seventh year.
The announcement from Canberra came as a brief, two-day truce collapsed in the southern Syrian city of Daraa and nearby areas where government forces have gained ground.