Rishi Sunak hopes to “strengthen and deepen” co-operation with France on tackling migrant Channel crossings in talks with Emmanuel Macron on Friday.
The Prime Minister is aiming for closer Franco-British ties as he prepares to travel to Paris for the first UK/France summit in five years.
But the French president is expected to reject pleas for a bilateral returns agreement.
Labour said Mr Sunak will have “failed” if he comes back to the UK without a returns agreement.
Ahead of his trip, Mr Sunak expressed hope that the UK and France could build on the £63 million agreement announced in November to help prevent small boats crossings and target human trafficking gangs.
The Daily Express reported that Mr Sunak is ready to green light a deal that would secure a multi-year migration agreement with Paris, which would include Britain paying millions of pounds to France every year to increase the number of patrol officers on French beaches.
The Prime Minister told a select group of reporters during a visit to Dover on Wednesday: “I was really pleased at the end of last year that we managed to announce the largest ever small boats deal with France, which led to a 40% increase of patrols on French beaches and increased co-ordination between our teams.
“So on Friday, hopefully, we can continue to strengthen and deepen that co-operation in those areas.”
In comments reported by the newspaper, Mr Sunak continued: “More broadly, I think there’s a range of things that we want to work closely with our partners and allies on – whether it’s standing up to Russian aggression and supporting Ukraine, whether it’s improving our energy security, or indeed whether it’s illegal migration.
“I think there’s a range of things where we can productively collaborate with France to the benefit of our country.”
Under the existing pact with Paris, the number of French officers patrolling beaches on the country’s northern coastline rose from 200 to 300, while British officers for the first time were also permitted to be stationed in French control rooms and on the approaches to beaches to observe operations.
Elysee Palace sources have reportedly briefed that a new deal could be signed off on “strengthening” co-operation between the UK and France on managing the border through “multi-year financing”.
Clare Moseley, founder of refugee charity Care4Calais, said: “The reality is expensive deals with France will not stop people smugglers, they won’t end small boat crossings nor will they keep refugees safe.
“There is a kinder, safer and more effective option – giving safe passage to refugees in Calais in a similar way to we have for Ukrainians.”
As well as new measures to tackle the small boats crisis, Mr Sunak and Mr Macron are also set to discuss defence co-operation, energy security, the conflict in Ukraine and other security challenges around the globe.
There are high hopes that the meeting will turn the page on years of post-Brexit tensions, with the Elysee seeing it as a “very important step” in the “recovery process” of relations.
An expected call between the two leaders, which was due on Monday, did not take place.
Shadow home secretary Yvette Cooper said: “We need a new agreement with France.
“Rishi Sunak will have failed if he comes back from the summit without a new returns agreement and new joint arrangements to prevent dangerous boat crossings.”