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
The family of the bus driver who was involved in Saturday's crash has said he is "devastated to the core" about what has happened.
A headteacher has payed tribute to a seven-year-old boy who was killed in a bus crash in Coventry at the weekend.
The daughter of a woman killed when a double-decker bus crashed into a Sainsbury's has told ITV News she will be "sadly missed by all".