“There is no one lever at any point in the system, either all the way back to source countries and whatever might be happening in conflict or in climate that might be factors for them to leave their country all the way to that final stage across the Channel.

“What you saw in our asylum policy statement was us setting out across a variety of levels, different ways of breaking the pull factors to this country and making sure that that idea that you can come to Britain and it’ll be really hard to get rid of you, we’re changing that as well.

“And then the PM mentioned around that one in making sure we have the deterrent on that final leg too.”

Mr Norris confirmed the UK is holding talks with Paris about extending a funding deal with France – as hopes intensify that the first boats will be intercepted in shallow waters.

Under Labour’s plans the Home Office will deport children born in the UK if their parents are eligible for removal.

Migrant families whose asylum claims have been rejected will be deported if they refuse cash incentives.

Home Secretary Shabana Mahmood wants to increase the amount given to immigration offenders, foreign convicts and those refused sanctuary in the UK to encourage them to leave.

But failed asylum seekers, immigration offenders and foreign criminals will not be given more than £10,000 to return home, Mr Norris said.

He claimed the payments – currently up to £3,000 – were “great value” because of the costs of accommodating illegal arrivals.

The Labour minister insisted the handouts would not exceed £10,000 – though he refused to set an exact number.

Speaking ahead of the first migrants arriving at Campsfield Immigration Removal Centre, which has been reopened as part of a drive to ramp up removals, Mr Norris told the Express: “At the moment the kind of regime we’re talking about is in the order of about £3,000.

“We are looking at a possible pilot to increase that.

“The reality is, for the public, that is great value because someone needing to be in hotel accommodation for a long period of time is very expensive to the taxpayer and that’s before you get to all the associated costs for those hotels.

“Offering incentives for voluntary returns is good value for taxpayers, it makes that process easier and that’s why we want to see that happen.

“If there are ways of making sure that happens more often, then that’s what we are looking closely at.”

Asked if payments could reach £10,000 per migrant, Mr Norris insisted: “That’s not a figure I would recognise”.

Asked if it could be higher, the Labour minister said: “No.”

Every asylum seeker costs, on average, £30,000 a year in accommodation, food, clothing and emergency cash payments, the Daily Express can reveal.

Mr Norris said: “Already, we do a number of family returns. However, that hasn’t been part of the main Home Office approach, which means we are in a situation where we’ve got 700 Albanian families who are failed asylum seekers, they are a country that is a signatory to the ECHR and they are not being removed.

“That’s not right and we want those to be as voluntary as possible.

“We want those to be as seamless as possible.

“We are going to ramp up our appetite there. We’re working with those families and other families in the system that don’t have a right to be here, then they’ll be removed.”

Asked if that includes children who are born in the UK, Mr Norris revealed: “Yes, ultimately it will be everybody’s case on the merits under immigration law, but there are those circumstances and in those cases, people will be removed.”