Protesters gathered outside Stobswell’s RBS branch on Friday to demand it is spared the axe.
Bob McGregor of Unite Scotland said those who use the bank daily are not being listened to by RBS chiefs.
He said: “Stobswell is a high density population.
“A lot of older people live here who rely on having a branch. Businesses here too would have to keep more cash on premises which would increase risk for them.
“The public owns this bank and they are just not listening to anybody. These closures are ripping the heart out of communities.”
Colin Clement, Chair of Stobswell Community Forum said: “The reality is this closure is going to affect the very people who are least able to handle it.
“This is a busy branch so we can’t understand the footfall numbers being quoted by RBS.”
Dundee East SNP MP Stewart Hosie added: “While RBS might say there are other branches nearby, this is a really busy bank in a really densely populated area.
“There are also lots of small cash-based businesses and that’s why you can see the strength of feeling. It doesn’t make sense to the local community to shut this branch.
“It’s not long ago there was a TSB here and an old Dundee Savings Bank before that.
“Almost every bank had a branch in this area and now they are falling like snow off a dyke. This is almost the last bank branch in this community.”