Television presenter Andrew Marr is conscious and "responding to medication" as he recovers in hospital after suffering a stroke, the BBC said.
The 53-year-old journalist and broadcaster was taken ill on Tuesday.
A BBC spokesman said: "Andrew Marr is responding to medication and continuing to progress. He is conscious and eating.
"He and his family are touched by all the warm wishes and support flooding in."
The corporation said it would continue to broadcast The Andrew Marr Show and Radio 4's Start The Week with guest presenters. James Landale will present The Andrew Marr Show this Sunday.
The BBC said his family had asked for privacy while Marr recovers. The corporation's former political editor is married to journalist Jackie Ashley and has three children.
Nick Robinson, the BBC's current political editor, tweeted: "Excellent news that Andy Marr is conscious and continuing to make progress after his stroke. All thoughts with him, Jackie and his family."
Many of Marr's colleagues in the media took to Twitter to express their sympathy.
Fellow BBC politics presenter Andrew Neil wrote: "Very distressed to hear news about Andrew Marr. Best wishes for full and speedy recovery."
Guardian columnist Polly Toynbee tweeted: "Andrew Marr, renaissance man, polymath, wise commentator, painter, runner, brilliant cook - and ace editor. Get well soon. Needed in public life."
Marr began his career as a newspaper reporter, becoming the editor of The Independent before moving into television.
He has also presented a number of history programmes along with his politics show and has had five books published.