It has drawn on its own reserves since 2014, but a spokesperson said this was no longer sustainable.
Councillor Fleming said: “Public transport is essential in rural areas and proposals to cut current provision will cause concern.
“People attending medical appointments, those travelling to their jobs or to seek work and young people travelling to schools all depend on public transport.
“Public transport also helps tackle rural isolation which can have a hugely negative impact on people’s mental health.
“Instead of reducing public transport in rural areas, we could be doing with more frequent services.
“I would urge Translink to reconsider these plans and maintain the public transport lifeline for rural communities.”