The football legend is taken ill on his 61st birthday, shortly after beginning his punditry duties on BT Sport.
Hoddle fell ill shortly after he began his punditry duties on BT Sport and the show was cancelled as a result.
Broadcaster Jake Humphrey, who works alongside Hoddle for BT, broke the news on Twitter.
He wrote: "Our friend & colleague Glenn Hoddle was taken seriously ill at the BT Sport studio this morning.
"For that reason there will be no @btsportscore - but we will be live as usual for the 5.30 ko at Leicester. Everyone of us is right with you Glenn, sending love & strength."
Presenter Mark Pougatch confirmed that the channel's football results show, BT Score, had been cancelled.
Hoddle, who managed England during the 1998 World Cup, was taken ill on his 61st birthday.
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He capped 53 times for England and was a star midfielder for Tottenham, widely considered to be one of the best players of his generation.
Hoddle won the FA Cup and UEFA Cup with Spurs and also played for Monaco, Swindon and Chelsea.
He went on to manage Tottenham and Chelsea, as well as Swindon, Southampton and Wolves.
Hoddle was fired as England manager after one tournament following a newspaper interview in which he implied disabled people were paying for sins from previous lives.
One of those who played under him, Rio Ferdinand, said recently the Three Lions would have won a World Cup if he had stayed on. England reached the second round but lost on penalties to Argentina in 1998.