Mrs Soubry and Mr Carmichael are both opposed to the Prime Minister's plans on the issue
Two senior Conservative figures have spoken out and called for Mrs May to reverse plans to include students in the statistics.
Former minister and Remainer Anna Soubry claimed the majority of the British public did not believe students should be included in the figures, and insisted they were a “huge benefit” to the UK.
She said: “International students are of huge benefit to our universities and colleges, and to our economy.
"When overseas students have completed their studies and return home, their goodwill towards our country often results in business deals as well as improved international relations and understanding.”
Mrs Soubry added: ”The majority of people don't believe overseas students should be in our immigration statistics, and for good reason.
The Prime Minister has so far rejected calls to exempt students from the figures
"The Government is showing welcome signs of pragmatism and common sense on immigration. I very much hope the Government will take international students out of the immigration figures."
The Boxtowe MP’s sentiments were echoed by Tory Education Select Committee chairman Neil Carmichael, who claimed universities were concerned about possible restrictions on attracting overseas students.
He said: “The Education Select Committee, which I chair, took copious evidence from universities on this issue, and I am in no doubt of the value they place on international students coming to study here in Britain.
Theresa May's political career in pictures Thu, April 6, 2017
Prime Minister Theresa May has promised to 'build a greater Britain'
EPA 1 of 116
Saudi Arabia's King Salman bin Abdulaziz al-Saud (R) meeting with British Prime Minister Theresa May in the capital Riyadh, Saudi Arabia, 05 April 2017. May is visiting Saudi Arabia as part of her Middle East trip to boost diplomatic ties in the region
Get Quotes on Home Insurance
Mrs Soubry claimed student migrants were of "huge benefit" to Britain
"Higher education is an export industry for Britain which generates great value from international students, and no Government should seek to make it harder for them to operate.
"The higher education sector has serious concerns about any possible restrictions on the ability of international students to come to the UK. I look forward to a healthy debate when this amendment comes to the House of Commons."
Despite Tory calls for reform, the Prime Minister has refused to back down over including students in the figures.
MPs will debate the issue next week over an amendment to the Higher Education and Research Bill passed by the House of Lords last month.
But despite efforts from Tory whips to contain the revolt, reports claim Mrs May could suffer a humiliating defeat at the hands of her own backbenchers.
Speaking on the matter earlier this month, the Prime Minister said: "Students are in the net migration figures because it is in the international definition of net migration and we abide by the same definition that is used by other countries around the world."