The eruption got under way in mid-September after a prolonged period of seismic activity, and has continued to intensify in recent weeks.
Hundreds of homes and buildings have been destroyed and thousands of people evacuated as lava flows have over several weeks carved a path all the way to the Atlantic.
Ash from the volcano has disrupted flights in and out of La Palma, at times, although it has not impacted its Canarian neighbours.
While the airport remains open, all 38 flights, arrivals and departures, scheduled for Sunday (17 October) were cancelled.
Canaries president Angel Victor Torres on Sunday said there were "no signs an end of the eruption was imminent".
In a statement issued late on Friday (15 October), Tui confirmed its operations to La Palma would remain suspended until 3 November.
"Due to the ongoing situation we’ve unfortunately had to cancel all flights to La Palma departing up to and including 3 November 2021," said Tui. "All impacted customers will be contacted directly to discuss their options.
"We’d like to reassure customers due to travel to any other Canary Islands that our flights are currently operating as planned however we will continue to monitor the situation and contact them should their holiday be impacted."