Lisa Gale, manager of the Vale & Downland Museum in Wantage, described Banbury Museum’s predicament as “not good news”.
“The museum sector is struggling a lot at the moment, and we are feeling the effects here, even though we offer free entry,” she said.
“It’s the rising costs that are so difficult to manage without significant increase in income… it’s really important that this situation is raised so people use museums and they aren’t lost.”
Oxford City Council recently voted to introduce an entrance fee to visitors at the Museum of Oxford from January next year.
The Cherwell District Council consultation closes on Friday.