Delivering his speech to the IPPR centre-left think-tank in London, Mr Bryant said unscrupulous employers were taking advantage of EU working rules to recruit foreign workers and pay them less than minimum wage:
Unscrupulous employers should not be allowed to recruit workers in large numbers in low-wage countries in the EU, bring them to the UK, charge the costs of their travel and their sub-standard accommodation against their wages and still not even meet the national minimum wage.
That is unfair. It exploits migrant workers and it makes it impossible for settled workers with mortgages and a family to support at British prices to compete.
More top news
A drink-driver who "destroyed the lives" of two mothers was allowed to have his curfew lifted so he could go on a foreign stag party.
Demonstrators have blockaded the entrance tunnel to Heathrow Airport in apparent protest at plans to build a third runway.
A man was left red-faced after neighbours reported shouting and a woman screaming - which turned out to be his efforts to kill a spider.