Messages of love and support from music stars including Stormzy, Spice Girl Mel B, Beverley Knight, Jools Holland and Alesha Dixon have been flooding in to the replies on social media.
“Health. First and always,” noted singer Knight.
Another performer, Lemar, offered: “Big love Trev. Rest up.” While singer and presenter Fleur East wrote: “Take your time. Health is everything.”
“Well done for listening to your body,” added singer Corinne Bailey Rae.
Fellow broadcasters Clara Amfo, Tony Blackburn, Romesh Ranganathan, Zoe Ball and Lauren Laverne also sent their support.
Laverne of 6 Music and Radio 4 said: “Sending lots of love and keeping everything crossed for you. I know how that can feel – take it one step at a time and try not to jump ahead.”
Vernon Kay paid tribute on his show on Friday, saying: “Everyone at BBC Radio 2, including the mid-morning show are sending Trevor all the very very best wishes, we absolutely love him to bits.
“He’s a stalwart broadcaster within the UK – I played golf with him a couple of weeks ago and he was in a buoyant mood. And I know that this challenge is something that Trevor is gonna face head on.
“So Trevor we are sending you all our love and hopefully see you on the links very soon my friend.”
Nelson presents a weekday afternoon show on Radio 2 and appears on 1Xtra late on a Sunday morning.
Next week, Amfo will cover his weekday show – from 14:00-16:00 BST – the corporation has confirmed. After which, DJ Spoony will take over from 6 July until further notice.
Speaking on the show on Friday afternoon, Richie Anderson, who was covering for Nelson, said: “Sending all the love in the world to our Trevor, we’ve got your back buddy.”
