In a National Joint Council meeting on Friday, employers and unions agreed to consult their members on a deal worth 8.9% over three years. This amounts to 2.75% this year, 2.95% next year, and 2.95% or the equivalent of the retail price index in the third year, whichever is greater.
The Local Government Association human resources executive is set to meet in Ipswich on Monday to discuss the proposed offer.
Employers' Organisation executive director Rob Pinkham said: 'It is likely there will then be a general consultation of authorities.'
Mr Pinkham said that 'far more' than 50% approval was needed for the deal to proceed. He said: 'In general, we will be looking for a consensus. It wouldn't be a very good idea for authorities to find themselves in a substantial minority and outvoted on something as important as this.'
But he added there was a good chance councils would agree to the offer. He said: 'We had some intelligence ahead of the negotiations last week which indicated a number were thinking along these lines.'
Unison senior national officer Heather Wakefield said: 'It's much better than the original offer.' She added that employers had wanted to scrap overtime and shift payments but had agreed to a new procedure for reviews at local level.
Unions will consult until 9 July. The NJC is due to meet again in mid-July.