Jackie, who did not give her surname, said if the branch closed she would have to figure out where to go to use banking services in the future as she had started using the post office because “most of the banks have closed”.
“What else is going to close? What’s going to be left?,” the 59-year-old said.
“We’ve got to fight for what we’ve got left. We need our post office, it’s a lifeline.”
Another regular visitor to the Morley branch is Janet Ross.
“I pay my rent there and we send Christmas gifts to Northamptonshire to my partner’s family,” Ms Ross, 60, said.
She said if it were to close it would be “devastating”.
“It’s been here for as long as I can remember.”
Following the news, a petition to “keep the branch open” was set up by Labour MP for Leeds South West and Morley, Mark Sewards.
Mr Sewards said he had requested an urgent meeting with the chair of the Post Office Nigel Railton to discuss “the devastating implications” a closure would have on residents and the town centre.