MAG has called for more transparency around how countries are categorised under the system. Its challenge has been backed by Ryanair, British Airways parent IAG, easyJet and Tui UK and Ireland, among others.
Lord Justice Lewis and Mr Justice Swift will oversee the hearing on Friday morning (9 July).
Lodged several weeks ago, the hearing comes just a day after transport secretary Grant Shapps confirmed the government would ease quarantine for fully vaccinated amber list arrivals.