The association's executive was yesterday due to consider a detailed strategy for persuading the government to give top councils radical freedoms, followed by a meeting with the central/local partnership.
Deputy prime minister John Prescott was scheduled to chair the meeting, and ministers from across Whitehall were expected to attend.
LGA chief executive Sir Brian Briscoe said: 'We will be saying to the government put your money where your mouth is. You said earned autonomy is your objective. Here's your chance to prove it. These authorities are by common consent able to manage their services very well. Give them a lot more freedoms and see if it produces better public services.'
Before the proposals were due to go to the central/local partnership, however, the LGA executive needed to be convinced the freedoms would benefit all councils.
A paper to the executive argued: 'There is still no evidence the government is contemplating making significant and attractive freedoms available, even though more radical proposals are being floated for foundation hospitals and schools.'
The meeting followed chancellor Gordon Brown's promise of 'substantial extra freedoms' for high-performing councils.
He promised a 'dramatic reduction' in ring-fenced funding, plan requirements reduced to the 'absolute minimum' and inspection cut by around 50%.