Seven libraries in Sefton are set to close by the end of the year with the loss of up to 40 jobs.
Proposals have been agreed to close Orrell library in October, followed by Ainsdale, Churchtown, Litherland, Aintree, Birkdale and Crosby.
The council needs to save £50.7m over the next two years to meet a reduction in government grants.
Community groups have been given until July to put together proposals to run the facilities themselves.
Melanie Horridge, chair of the ABC Library group, which represents the support groups of the three libraries in Southport, said they have put forward a business plan to save £140,000 of the £400,000 that would be saved by closing all seven libraries.
She said: "We're asking that at all times there should be a council-employed, full-time librarian on duty and we can use volunteers to help with activities like children's activities that don't need an actual librarian."
The council is looking at increased opening hours at remaining libraries as part of the proposal and a final decision will be made on 18 July.
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