Under the plan, people who enter the UK unauthorised will be sent to Rwanda to have their asylum claims processed there.
Since the passage of the latest legislation, tensions have grown between the UK and Ireland after people entered the Republic to escape facing deportation.
But the government in Westminster says it will not take people back until a reciprocal agreement is put in place to allow returns to France for people who cross the Channel.
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First Rwanda relocation raids carried out
No one has been deported to Rwanda yet, though this week a failed asylum seeker voluntarily chose to go to Kigali once their application to stay in the UK failed, under a different scheme.
The government has said removal flights are set to take off in nine to 11 weeks, with the first people to be deported detained on Wednesday after officers raided their homes.