The Labour group wants cross-party agreement on the increase to Mr Lyons'£125,000 salary. But at a recent meeting of the sub-committee Liberal Democrat leader John Hemmings held out for 3% and Conservative group leader David Roy did not show.
Council leader Albert Bore said: 'We are looking at a new rolling contract that will be related to tough performance targets.
'Consultants made comparisons with other local authorities and private sector companies and concluded that the scope and complexity of the post scored higher on their system than almost any they had ever dealt with or heard of.'
He said: 'You can't pick out one single person out and say they are doing such a spectacularly good job compared to everyone else. Is£125,000 peanuts?'