Plans to stop libraries in Derby lending CDs and DVDs have been proposed by the city council.
The Tory-led authority, which is trying to save £27m in two years, claims the service costs about £100,000 a year.
Councillor Sean Marshall, cabinet member for resources, said digital media only accounted for 1.2% of borrowing at libraries across the city.
The proposal, which will be put to the full council, should be the last cuts announcement this year, he added.
Mr Marshall said: "Other authorities up and down the country are shutting libraries down. We're actually investing more money in libraries this year.
"We're building a brand new library in Chaddesden at a cost of £1.2m. So we're taking the money out of one area and investing it in another area."
Axing CD and DVD lending could be an alternative to three or four job cuts, or the loss of a front-line service, he said.
Mr Marshall added: "We've found nearly £28m in savings. If it goes through and the proposals are backed by full council that will balance our budget for the year."
Derby City Council has said up to 570 jobs could go after it lost £17.4m of government funding for the next financial year, and a further £9.5m in 2012-13.
On Thursday, the authority said about 600 employees had expressed an interest in voluntary redundancy.