The flights will carry expatriates who had booked return tickets to Jeddah and Riyadh for Mar 16 and 17.
Biman on Wednesday asked them to contact its sales office on Thursday to confirm the booking.
Md Mokabbir Hossain, the managing director of Biman, asked the others not to crowd the counters, saying that they will also be informed if the Saudi authorities approve more flights.
All the travellers will require coronavirus test results confirming that they do not have the COVID-19 disease.
Travellers will also need to reach Saudi Arabia within 48 hours from the sample collection.
So, Biman has asked them to give samples in Dhaka to avoid delay.