Helen Southworth, who proposed the bill in Parliament yesterday, hopes it will impose a duty on local authorities to ensure expected standards for care-leavers are met.
Southworth said when a care-leaver moves from a placement such as a foster home or children's home, they are no longer regulated under the Care Standards Act 2000.
She said: "The current framework should ensure all care-leavers are being placed in suitable accommodation that adequately meets their needs. In fact, the evidence from care-leavers and their care workers shows that in far too many cases it is not working."
The National Care Advisory Service reports that 10 per cent of care-leavers feel unsafe and 44 per cent worry about their safety.
She added: "The purpose of the bill is to sort out those problems by providing clear, simple minimum guidance, just the sort of guidelines any decent responsible parent would ensure were in place for their child if they were looking for suitable accommodation."
The bill will be read a second time in June.
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Bill sets out living standards for care-leavers
A Labour MP has put forward a bill to set out minimum standards of accommodation for care-leavers.