Her post on Sunday went on to thank the “brilliant medical teams who took such great care of me” and “the thousands of people who sent me such beautiful and encouraging messages”.
“Most of all [thank you] to my family: my two astounding kids and especially my husband Graeme, who was absolutely extraordinary throughout,” she said.
“It’s been a difficult time but one that has taught me so much about what really matters.
“I can’t say I suddenly regretted never having hiked the Inca Trail, more that I now see more beauty in ordinary things than I could have imagined.”
Her post also included a picture of her wearing a jumper bearing the words: “Life is beautiful”.
She said in August her cancer had been discovered “unexpectedly during a screening test” and urged anyone who was “avoiding a test or putting off an appointment” to get checked.
She has not specified what type of cancer she was diagnosed with.
Laverne began filling in for Kirsty Young on Desert Island Discs in 2018, later taking over as permanent host.
The role has seen her interview the likes of Cillian Murphy, Steven Spielberg, Rebel Wilson, Delia Smith, Kate Mosse and John Legend.
She has previously presented BBC Two’s The Culture Show and Channel 4’s 10 O’Clock Live, and in the 1990s was a singer and guitarist with alternative rock band Kenickie.
A BBC spokesperson said: “We’re delighted to welcome Lauren back to the studio this month for The One Show and Desert Island Discs, with new episodes airing on Radio 4 from 1 December, and we look forward to welcoming Lauren back to BBC Radio 6 Music in the new year.”
If you or someone you know have been affected by cancer, a list of organisations that may be able to help can be found on the BBC Action Line page.
The Daily Mail says a "recession made in Downing Street", external is on the way, as it leads on the warning from business leaders at the CBI that the governmen
Tottenham and Liverpool meet in Sunday's big Premier League match in north London as the Reds aim to ensure they will be top of t
Winning mentality key to Liverpool's success - SlotSign up to Miguel Delaney’s Reading the Game newsletter sent straight to your inbox for freeSign up to Migu
Defender Stenevik said: "It is nice to meet new people that you wouldn't usually interact with, it was fun."We found it most fun to give out the Everton Santa C