The rule included in the Playbook published in December says they have to send the documents about the recovery 8 working days before the departure.
If you are fully vaccinated and have previously been infected with *********-19, submit the following to Beijing 2022 ([email protected]) for review, at least eight working days before your planned departure: – Medical/laboratory certificates (in English) that prove your infection and recovery (including dates of infection and recovery, if possible) – An application form your CLO will give you – If your recovery is within 30 days of your planned departure, negative test results from two *********-19 (PCR) tests taken with a minimum 24-hour interval at any time after your recovery
(page 22 of the Playbook for Athletes)
However, some Sport Federations have already asked to allow for documents be sent even within the 8 days timeframe.
In alpine skiing, there are athletes currently positive who are still on their country's roaster and planning to go if/when turn negative.