Jetstar and Singapore-based budget carrier Scoot said they had been contacted by a small number of customers looking to change their travel dates.
Hundreds of tremors have been recorded in recent days, pointing towards an eruption.
Tarsisia Ni Nyoman Juliarti told ucanews.com that she and her family fled their home in Padangkerta, in Karangasem district on September 23 "because we fear an eruption". It was also confirmed through thermal imaging techniques, which detect increasing heat from the volcano.
Balinese residents, worldwide NGOs and the central government have begun organising aid. Vehicles loaded with noodles, mineral water and blankets have been sent to the evacuation centres, and residents around the island have been collecting donations, AFP reported.
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He would be able to extract better deals from both National and Labour if the viability of a Labour-led Government were certain. I believe in New Zealand, I'm trying to improve New Zealanders.
Balinese man watches Mount Agung volcano nearly covered with clouds as he stands at a temple in Karangasem, Bali, Indonesia, Tuesday, Sept. 26, 2017.
Bali's "sister village" programme and tradition of communal assistance means evacuees have been able to stay in villages outside the danger zone.
President Joko "Jokowi" Widodo visited a sports center serving as temporary accommodation in a district south of the volcano on Tuesday.
"This morning we were anxious because we had limited rice supply, but now we have received more rice stocks from donors", Subandi said. Almost 5 million tourists visited Bali past year.
So far flights to the holiday island have been running to schedule.
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"So I ask all people around Mount Agung to follow instructions from the officials and minimize the impact of this volcano".
Virgin Australia and Jetstar, both of which fly to Bali from Australia, said they would carry extra fuel in case they needed to reverse course quickly.
Mount Agung is among about 130 active volcanoes in Indonesia - an archipelago prone to volcanic eruptions and earthquakes as it sits on the Pacific "Ring of Fire".
Abdel Fattah al-Sisi meets with Bibi in NY
Trump has described peace between Israelis and Palestinians as "the ultimate deal". I think the Palestinians would like to see it.