The Lee Mavers-led group have played a series of low-key shows in recent months and will play their last such gig this week.
"We will play the last of our stripped back sets at O2 academy in Liverpool this Friday," a post on the band's official Twitter page confirmed.
"We would like thank everyone who has turned up over the summer to support us. We hope to be back soon with a full band."
It is not clear who will be in the new lineup of The La's.
After several years out of the public eye, Mavers reunited with La's bassist and Cast frontman John Power in 2005 for a series of live shows. Power left the group soon after and reformed Cast last year.
In 2009, Mavers suggested that The La's would soon record the long-awaited follow-up to their self-titled 1990 debut.
Listen to The La's BBC In Session recording of 'Over' below: