The presenter has been phoning into the show this week after one of her sons developed a cough, forcing her to self-isolate at home.
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However, the pair clashed as Piers Morgan slammed people irresponsibly congregating in groups despite government advice to stand at least six foot apart.
Susanna said: "My point all along has been that you have to do this a little bit gradually because you have to keep people on board. These are going to be quite stringent measures you're proposing…"
Piers replied: "These aren't stringent – you're being told to go home. What is it that people can't get in the heads about this supposed sacrifice?"
Susanna then hit back: "People are being told to stay at home or when they go out they stay two metres apart. And of course, people are going to take advantage of that while they can.
"Because the alternative is – let me tell you, being locked down is not going to be a lot of fun for people. I don't blame for getting out while they can and telling people they're morons isn't exactly helpful.
"I think when people are going to supermarkets and filling up their trollies, we don't know if they're shopping for elderly people, if they're shopping for neighbours."
Before she finished what she was saying, the Good Morning Britain theme started playing over the top.
The coronavirus death toll reached 281 as an 18-year-old boy became the youngest victim of the disease.
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The tragic death of the teen boy, believed to have been from Coventry, came as the number of people infected with the killer bug in the UK more than quadruple to 5,683 in just six days.
It comes as Brits appeared to ignore the strict warnings to stay at home and poured into parks and onto beaches over the weekend.
Susanna said she's going to "give [her sons] a break" while in self-isolation instead of forcing them to do activities.
Speaking to Ben Shephard and Kate Garraway on Friday morning, she said: "People keep emailing me – well-meaning people – who are saying, perhaps you could all learn a language together. Or perhaps you could all train indoors.
"I actually think, just this week, I'm just going to give them a break."
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