Both Wandsworth and Croydon councils are inviting outside organisations to bid to take over the management of their library services.
According to a report on news site 24dash.com, the council said the move will "harness the latest innovations from an emerging market of library service providers" while generating savings.
Wandsworth Council's library spokesman Jonathan Cook said: "Five years ago our options were limited but now there is a developing and competitive marketplace out there with a lot to offer. If an outsider can do a better job at a lower cost then we won't be afraid to take the first step."
Meanwhile some libraries are set to close in Tyneside in the next round of spending cuts, according to local news site ChronicleLive.co.uk.
A total of £85m worth of cuts is being proposed at Gateshead, Newcastle and North Tyneside councils, with plans set for the vote in February.