Former shadow public health minister Diane Abbott dubbed new immigration legislation "a nasty little bill" and warned it would demonise British people of colour.
Some plans were already covered by British law, such as preventing illegal immigrants from getting NHS care, she told Daybreak.
"If the Government wanted to help with that it could help hospitals collect the money," she added.
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Deputy party leader Tom Watson said that what has happened with Jeremy Corbyn is a "great tragedy".
A father who must give police 24 hours' notice before he has sex is planning to go on hunger strike in protest at the "extreme" order.
Remaining unsettled over the next few days.