The government has pledged its "full and unfettered" support for a bill that would force councils in England to do more to tackle homelessness.
Bob Blackman MP said it was a "national disgrace" that a single person should have to sleep rough.
His private member's bill aims to reform the law to make sure more people get help before losing their home.
A former housing minister had warned that councils would need more funding to fulfil the commitment.
The support for this bill is really encouraging. It is completely unacceptable that anybody should be homeless in Britain today.