Draper remains in hospital after being admitted when he first began suffering from Covid-19 in March.
While he has since tested negative for the virus, it has caused "extraordinary damage" to his entire body.
Speaking during Tuesday morning's Good Britain, Garraway, 53, explained that she is now finally able to visit her husband in hospital.
"I did go and see Derek yesterday," she told Ben Shephard. "It was quite a tough visit. He’s had a tough couple of weeks and it’s just frustrating.
“It’s [my son] Billy’s birthday today so I think I was extra emotional because you think about the day he was born and Derek’s involvement and how much Derek would like to be present. So it’s very emotional.”
Garraway added that doctors have told her to remain positive.
She continued: “What the doctors said to me is, ‘Sometimes, a day when nothing has gone backwards and nothing has gone wrong is a positive day.’
“It’s a stable day. It’s just I’m desperate for a step forward… but it’s always lovely to see him and it’s wonderful to have the chance to do that [visit]."
Garraway and Shephard almost didn't make it on air on Tuesday, after a powercut hit the ITV studios shortly before 6am.
“They couldn't use any printers to print us the briefs to brief us on the stories," Kate explained.
"They had no lights, the air conditioning went off, the server which is the thing that brings the show to you and allows us at the moment to speak to our guests because they are not allowed into the studio."
On Monday, Garraway said she was at her “absolute limit” after a tyre on her car blew out while she was driving on a motorway.
The presenter was returning to London when she felt as though she was losing control of the vehicle.
“You know people say that God and the universe doesn’t send you what you can’t deal with? I’d just like to put a message out: I’m at my limit. I’m at my absolute limit now,” she said.
Additional reporting by Press Association