Labour Party councillors in Blackburn have failed to overturn plans to cut £4m from the council budget.
Blackburn-with-Darwen Council is trying to save about £40m in the next four years as it prepares for a reduction in grants given to local government.
Measures include the closure of Shadsworth Leisure Centre and cutting funding for community centres.
Executive board members will consider feedback from councillors when they meet to finalise the plans on Thursday.
The Labour Group attempted to call-in the board's original decision on the cuts at a special scrutiny meeting on Monday night - but lost the vote.
However Maureen Bateson, Labour councillor for Ewood, said executive members had agreed to discuss some concessions to their original cuts plan.
These include financial support for some local groups which help to run community centres.
Mrs Bateson said: "Yes we do know that [budget] things have to be looked at, but you have to look at whether it is a value for money service that you are providing and how you can retain that in the most effective way."
The council's executive board will also consider a council motion to "reconsider the unjust cuts in service currently being implemented".
The meeting takes place at Blackburn Town Hall on Thursday night.