Cruz being considered to replace Sessions: report

President Trump and his advisers are floating possible replacements for Attorney General Jeff SessionsJefferson (Jeff) Beauregard SessionsTrump's policies on refugees are as simple as ABCs Ocasio-Cortez, Velázquez call for convention to decide Puerto Rico status White House officials voted by show of hands on 2018 family separations: report MORE — and the list includes Sen. Ted CruzRafael (Ted) Edward CruzVideo of Lindsey Graham arguing against nominating a Supreme Court justice in an election year goes viral Sunday shows preview: Justice Ginsburg dies, sparking partisan battle over vacancy before election Democrat on Graham video urging people to 'use my words against me': 'Done' MORE (R-Texas), The Washington Post reports.

Cruz and former New York City Mayor Rudy Giuliani (R) are reportedly among the candidates Trump’s team is considering to replace Sessions, though Giuliani said earlier in the day that he's not being considered.

Trump has repeatedly said that he is disappointed by Sessions’s decision to recuse himself from the probe into ties between the Trump administration and Russia, saying in an interview last week that he would have never hired Sessions if he knew he would recuse himself.

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Trump also slammed Sessions in a tweet Monday morning, asking why our "beleaguered A.G." wasn’t investigating ties between Hillary ClintonHillary Diane Rodham ClintonJeff Flake: Republicans 'should hold the same position' on SCOTUS vacancy as 2016 Momentum growing among Republicans for Supreme Court vote before Election Day Warning signs flash for Lindsey Graham in South Carolina MORE and Russia.

Giuliani denied reports that he was up for Sessions’s spot earlier Monday and defended the attorney general’s decision to pull himself from the probe, saying it was “the right decision.”

Trump associates are viewing a possible Sessions ousting as a step toward firing special counsel Robert Mueller, according to the Post. Deputy Attorney General Rod Rosenstein appointed Mueller to his post and has said he would not fire him, but a new attorney general would have the power to do so.

Trump left the option open to fire Mueller in an interview with The New York Times last week.

Cruz and Trump sparred often on the campaign trail when both were seeking the GOP nomination for president.