According to the Daily Star, Garraway has revealed that Draper’s neurologist told her that "time and waiting” were her friends because he "had never seen anything like this before so can’t personally chart the recovery".
Writing in her book The Power Of Hope, Garraway said she asked how long it would be before the doctor knew more.
She said: “After another long pause, he looked straight at me, then away. 'Well, Kate' – the first time he had used my name – 'I think it’s fair to say if he is still like this after two years we will know there is very little chance of him making any meaningful recovery’.”
The TV star said the timescale “winded” her, because she questioned how she could “go on like this for another two years" .
Garraway married the political lobbyist in 2005 and they have two children - Darcey, 15, and Billy, 11.
The GMB star - who has had the ground floor of her London house converted to accommodate her husband’s medical needs - recently revealed that Draper burst into tears when he arrived back home in April.
She said: “I could see two little faces of Darcey and Billy looking out of the window and I could literally see them go, ‘He’s here!’ They ran out and opened the door.
"He immediately burst into tears, there was a lot of hugging and we got him inside. He absolutely knew he was home."
Watch: Kate Garraway reveals husband Derek Draper can barely talk