Agents say travellers have been asking about swapping but most have decided to stay with booked flights.
An international sports team due to fly to France on Malaysia Airlines is changing carriers because the players fear for their safety after the MH17 tragedy.
Flight Centre says about 100 customers have cancelled or postponed flights with Malaysia Airlines since its passenger jet was shot down over Ukraine last week.
The Samoa women's rugby team was due to fly to the Women's Rugby World Cup in France from Auckland on Saturday. But Samoa Rugby Union spokeswoman Rula Su'a Vaai said concerns were raised with the International Rugby Board, which advised that Malaysia Airlines would refund the cost of the flights.
The team was changing airlines because of "natural fear" after the airline was involved in the MH17 and MH370 tragedies, she said.