In a new audio tape attributed to him and broadcast on Wednesday by an Arabic television channel, Hussein also threatened to step up anti-US attacks and to "wage holy war by all means against the foolish invaders."
"We call on you to withdraw your forces as soon as possible, and without any conditions, as you cannot bear any more losses as these losses will be catastrophic for you," was the message to Americans.
"Your withdrawal from our country is inevitable, whether it happens today or tomorrow, and tomorrow will come soon," it said.
"Know that Iraq and its leaders will refuse any solution that is made while the country is under the shadow of occupation. We will consider it to be a ruse"
'Saddam Hussein' message
The voice, in a the poor quality recording, also urged Iraqis not to become complacent with the occupation.
"O Iraqis ! O fighters, men and women, you must tighten the noose around the Americans and increase your attacks against them. You must conduct jihad by all means possible, financial and otherwise," the voice said.
The recording rapped the United Nations for being led by the "unjust" United States, in an obvious reference to the latest US push for a UN resolution that would pave the way for troop reinforcements in Iraq, with participation from other countries.
"Know that Iraq and its leaders will refuse any solution that is made while the country is under the shadow of occupation. We will consider it to be a ruse," the message said.
The message ended by giving the date of the recording as September.