But the proponents of Sessions say that a simple fact should keep the Attorney General in office: there is no one who could better implement Trump's own visions of immigration, and no one more appreciative of what has been accomplished so far.
Sessions "is almost irreplaceable in its commitment and understanding of the core issue with which the president won his election," said Dan Stein, president of the Federation for American Immigration Reform, which advocates a drastic cut in immigration.
Republican Senator Lindsey Graham has argued this week that Trump deserves to replace sessions because the relationship is "irreparable".
However, this feeling is not shared in the strongest support of the sessions – the groups that have long campaigned for the immigration-restrictive policies aggressively pursued by the Attorney General.
"Jeff Sessions has delivered exactly what Jeff Sessions would deliver in the years he served in the Senate," said Arthur Arthur, an employee of the Immigration Studies Center, a think tank that supports immigration.
"It has tremendous implications for issues that are important to the president as it would relate to immigration," Arthur added. "He was a loyal soldier to the incumbent president."
"It would be a serious political mistake for the President to hold meetings now," reiterated Jessica Vaughan, director of policy studies at CIS. "It's going to lose-lose because Democrats will say Trump fires him to get a yes-man, to obstruct any investigations needed to overthrow the president, and conservatives, especially those who enforce immigration laws Want to be very annoyed seeing sessions go. "
Stone suggested that Graham had ulterior motives. The South Carolina Republican is likely to chair the Senate Judiciary Committee next year and has a much more modest attitude to immigration than sessions.
"Lindsey Graham's ambiguity is more related to the fact that the Senate has the power to run the Senate Judiciary Committee and encourage another amnesty scam against the American people than anything that has done sessions in office wrong," said Stone. "Graham knows it's impossible to get administrative support for anything Graham wants to do in immigration while Sessions is Attorney General."
Graham's office did not respond to a request for comment.