Home Affairs Select Committee chairman Keith Vaz greeted the first flight from Romania as it landed at Luton airport on Wednesday morning.
Romanian Victor Spiersau was aboard and said: "I don't come to rob your country. I come to work and go home."
The UK has not released forecasts of migrant numbers, but campaigners say up to 50,000 people a year could come.
Immigration minister Mark Harper said curbs on access to benefits would ensure those heading to the UK would contribute to the economy. New arrivals
One of the plane's passengers, Victor Spiersau, was coming to the country for the first time.
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The 30-year-old said he already had a car washing job lined up that would earn him 10 euros (£8) an hour - an improvement on the 10 euros a day he received working in the construction industry at home.
"I don't come to rob your country. I come to work and then go home," he said. "Here you pay a lot; in Romania it's very cheap."
Mr Spiersau added: "I don't want to stay here. I want to renovate my home and to make a good life in Romania because it's much easier to live in Romania because it's not expensive."
A Home Office spokesman said the government was working to reduce net migration and would ensure people entering Britain were doing so for the right reasons.
However, more than 60 MPs are backing a campaign to extend the restrictions for a further five years, saying the British economy has not sufficiently recovered from the 2008 recession to cope with the change and that it will put pressure on public services and reduce job opportunities for British workers.
'Welfare strain'
Laszlo Andor, the EU commissioner for employment, social affairs and inclusion, said there were already three million people from Bulgaria and Romania living in other European Union