The England international tested positive for coronavirus, meaning him and his teammates have entered a period of self-isolation.
The club’s Cobham training ground has undergone a deep clean and is reportedly now back open to staff who are not in isolation.
Lampard provided an update on Hudson-Odoi while hiving a passionate statement about the disease.
“I’m happy to say that in Callum’s case, he has made great progress and almost feels his usual self, which is obviously the news we all want to hear,” Lampard told the club’s official website.
“I am of course aware that not everyone can or will recover from this virus, so I urge all of the football and sporting community to continue to act responsibly and look out for the health of others,” he added.
“I want to make it clear that I am no medical expert when it comes to challenging times such as these but please do take the time to call older relatives and vulnerable people who might be alone, or offer to drop round shopping if they can’t get out. Let’s make sure we all take care of each other.
“Social distancing can leave us feeling isolated, however we can continue to support each other even if that means doing it remotely.
“Of course we still don’t know when competitive football will restart, but it isn’t worth worrying about that too much at the moment. We all miss football, but right now it’s about acting responsibly and in the best interests of society. I am sure I wasn’t the only one who found myself in a strange place with no sport this weekend, but ultimately none of that matters when we consider the bigger picture.”