More than 50 Tory MPs have urged Prime Minister Rishi Sunak to alter “quirks” in modern slavery laws to make it easier to send some migrants home.
The letter, arranged by former Brexit Secretary David Davis, demands those travelling from “safe countries”, such as Albania, be returned more quickly.
The MPs maintain a “simple” change in the law could ease the current crisis.
A Home Office source said Home Secretary Suella Braverman was “working flat out” to solve the issue.
The source said Ms Braverman and Mr Sunak were working “to bring in reforms to help stem the flow of migrants across the Channel”.
More than 40,000 people have crossed in small boats from France so far this year.
In the letter, Tories describe the crossings as a “Gordian Knot that needs cutting with a simple policy”.
The signatories argue that a provision in current law prevents the government from returning a person who says they are a victim of modern slavery to their original home.
“If they have really been taken against their will, then they could not reasonably object to being returned to their own homes,” the letter said.
“The quirks in our modern slavery laws that prevent this are clearly in defiance of the aims of that law and should be removed.”
MPs, including former cabinet ministers Dr Liam Fox and Esther McVey, and veteran backbenchers Sir Peter Bottomley and Sir Graham Brady, are among the 50-strong body of Conservative politicians calling for the change.
They argue this “straightforward and legally workable way of addressing the crisis” would be a “very strong deterrent” to those who might be planning to make the trip across the Channel.
Mr Davis said the number of people from safe countries like Albania claiming asylum in the UK was “paralysing the whole system”.
“I want to protect the asylum system for people who really need it,” he told BBC Radio 4’s Today programme.
The large majority of migrants claim asylum on arrival in the UK and many are housed in hotels while awaiting the outcome of their applications, which are often subject to delay.
A government spokeswoman said: “We have made clear that there is no one single solution to stop the increase in dangerous crossings.
“We have also made clear that we will continue to use every tool at our disposal to deter illegal migration.
“We are expediting the removal of individuals by agreeing tailored bilateral returns agreements with partners like Albania, elevating it to a key priority for our foreign policy.”