Kirklees social workers threatened to strike over the council's refusal to backdate a pay increment to 1999.
The council and Unison are in talks over the offer, which backdates the annual£900 increment to April 2000, an improvement on an earlier offer to backdate it to October.
Kirklees has a high number of vacancies and problems retaining staff as social workers leave for jobs in Leeds City Council, Bradford City MDC and Wakefield MDC, where pay is higher.
'There seems to be willingness to resolve this dispute on both sides and I am confident we can come to an agreement.'
Unison branch officer Paul Holmes said he expected the action threatened for next week to be called off. 'The money offer is acceptable. We need to agree the principles on new ways of working and we have at least three weeks to achieve that before we have to activate the strike ballot.'