Thousands of Iraqis surrendering
The latest group was reported to be Saddam's 25th Mechanised Brigade, of the 6th Armoured Division.
They are reported to have given themselves up to US forces just to the south west of the city overnight.
The brigade has up to 8,000 men in it but it was not clear how large a scale the surrender was.
News reports said Iraq's 51st Division had also surrendered around Basra.
In the southern port town of Umm Qasr, America's 15 Marine Expeditionary Unit, which is operating under Britain's 3 Commando Brigade, Royal Marines, was still clearing final pockets of the resistance.
The force is effectively in control of the town, which is crucial for bringing in humanitarian aid and supplies, but there remain several small sections of Iraqis, sources said.
On the Al Faw peninsular, members of 40 and 42 Commando, Royal Marines and the Commando-trained troops from 59 Independent Commando Squadron, Royal Engineers, were this morning continuing to shore up defences.
However, any Iraqi counter attack to try to retake the key oil installations is now very unlikely.
Winds were again picking up in the Kuwait desert this morning, which could lead to a sand storm which can often severely hamper land operations.