Paul O'Grady's Radio 2 show will continue as planned this weekend as the programme was recorded in advanced, a spokeswoman said.
The presenter is due to undergo surgery today following an angina attack.
O'Grady has hosted a weekly two-hour show for Radio 2 since April 2009.
A station spokeswoman said: "Paul pre-recorded this Sunday's programme last weekend and he has asked us to go ahead with this week's pre-record."
More top news
Cuts to local services will continue across many towns and cities in the UK, despite council tax bills rising by up to 5% this year.
Monday will be windy and mild, with some sunshine across central and southern parts once the morning mist and murk clears.
Malaysia has recalled its ambassador to North Korea as tensions over the investigation into the death of Kim Jong-nam boiled over.