According to data produced by the firm for the World Travel Market, in July, August and September, global air traffic is set to reach 65% of where it was before the pandemic in 2019.
However, the revival is "patchy", with some parts of the world performing better than others and some types of travel, particularly beach holidays, being more popular than urban city visits and sightseeing.
The region on course to recover most strongly is Africa and the Middle East, with arrivals in Q3 expected to reach 83% of 2019 levels. It is followed by the Americas, where summer arrivals are expected to reach 76%, and then by Europe, 71%, and Asia Pacific, just 35%.
The current preference for beach holidays is illustrated by a comparison of the top ten beach and urban destinations in Europe, ranked by Q3 flight bookings compared to 2019.
All those in the beach list, which is led by Antalya (81%), Tirana (36%) and Mykonos (29%) are showing healthy demand, whereas, in the urban list, only Naples is ahead.
According to the firm, enthusiasm to travel again internationally is "so strong" a rise in air fares has done "relatively little" to dampen demand.
For example, the average fare from the US to Europe climbed by more than 35% between January and May with no noticeable slowing in booking rates.
Olivier Ponti, vice president of insights for ForwardKeys, said: "With 2022 seeing travel restrictions lifted, connectivity re-established, and consumer confidence regained, demand for international travel is on the rise once more, marking a departure from the domestic travel trend that dominated in recent years.
"In Q3 this year, holidaymakers are relatively much keener to leave the pandemic behind with a relaxing break on the beach than they are to consume culture, cities, and sightseeing."