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
Chinese laundry detergent ad has been called out as 'the most racist advert ever' on social media after the video was picked up online.
Vote Leave launch £50m competition you can win if you successfully predict every single match in the European Championships.
Police are looking for more than 30 men on suspicion of rape and of posting a video of the attack on social media.