Federer, 39, has suffered a setback with an existing knee injury.
The Swiss legend won doubles gold at Beijing 2008 and silver in 2012, losing the singles final to Andy Murray.
Konta, 30, has contracted Covid after withdrawing from Wimbledon when a member of her team tested positive and she was identified as a close contact.
Federer, now ranked number nine in the world, had two knee surgeries in 2020.
