They have received letters from council officials saying they will have to pay around £5000 each towards a massive six-month programme of works to fill in the mines, some of which date back to the 1690s.
Glasgow City Council has warned there are concerns the mineworkings could "cause ground movement" in the coming years, and say work is needed to "prevent collapse" in the future.
The problem was uncovered as part of a city-wide investigation into shallow mine works.
Upmarket Jordanhill is regarded as one of the more affluent areas of the city, where the average house price varies between £450,000 and £600,000.
More than 100 houses are affected by the problem, and homeowners have been asked to pay half the bill for the work, which is expected to be in the region of £1.5 million.
Streets affected include Munro Road, Borden Road, Austen Road and Chamberlain Road.
The council has said it will pay for the works, and then go on to seek recompense from residents at a later date. However, some have expressed concerns about how long people will be given to settle the bill.
Jean Brown, 68, chairwoman of the local community council, said: "People are very concerned. A lot of people around here are retired and are living on pensions, and £5000 is a lot of money."