At least General Blamey kept the Australian Government informed

During the first half of 1941, General Wavell had an abysmal record in his relations with the Australian Government. Besides lying to the senior Australian Officers, he also lied to the Australian Prime Minister about the Greek campaign. He met with them separately and then told them, wrongly, tha the other had agreed with the plan for going into Greece. Of course, Wavell was taking being a "good soldier" too far, because he knew that Greece was a pet project for Churchill and his foreign secretary. Now, in the run up to occupying Syria and probably fighting the Vichy French forces, he did not bother to inform the Australian Government. The only reason that the Australian Government knew anything was because of communications from General Blamey, the senior Australian Officer at Wavell's headquarters. The Australian Government had received a message from General Blamey on 30 May 1941, prior to the end of the battle on Crete. Churchill did communicate with the Austrlian Prime Minister on 31 May about Syria. The Austrlian Official History notes that the Australian Government had not been informed about the plans until right before the attack. This is based on the account in Vol.II of the Australian Official History.