Dr Hawkins said similar reviews into NHS failings had taken place and not achieved the results families had wanted, which is why he has backed calls for a national judge-led public inquiry.
“I think we’re very clear that it’s been tried before in various subtly different ways, and it will not work,” he said.
“What we absolutely have to have is a statutory public inquiry, where people give evidence under oath, and are at risk of perjury in a court, just like the Post Office inquiry.
“There are thousands and thousands of avoidably dead babies and children in this country, in a system run by the state.”
Ms Hawkins and other affected families met with Streeting last week.
While she said he “has done more for us as families than any other health secretary”, the desire for a judge-led inquiry remains.
“Families still don’t feel like this is far enough,” she said.
“I think it is happening right across England, and there may be hotspots where people are voicing their concerns and their thoughts, but there are also lots of families out there who are on their own and don’t have support, and they really need a widespread public inquiry to look at all of this.
“Nottingham families are very keen that the prime minister now comes up and sees us and sees the damage and the harm that we will suffer for the rest of our lives.
“It’s important that he knows not only what’s going on in Nottingham but what’s going on across the country.”