The Immigration Minister, Robert Jenrick, said the Rwanda deportation plan must go ahead to stop the boats in their entirety - even if this means quitting the European Convention on Human Rights.
Last month, the Home Office challenged a Court of Appeal ruling from June that the multimillion-pound deal - which would see asylum seekers deported to the east African nation - was unlawful.
Figures obtained by the Daily Mail show the organisation has sent 1,737 refugees to Rwanda since 2019 - including 134 just four months ago - as part of its emergency transit mechanism.
MPs have voted to reject the House of Lords amendments as the Government wins the latest battle with its Illegal Migration Bill. Amendment 103B was rejected by MPs by 297 to 214.