Cruz being considered to replace Sessions: report

President Trump and his advisers are floating possible replacements for Attorney General Jeff SessionsJefferson (Jeff) Beauregard SessionsThe Hill's Morning Report — Presented by the American Academy of HIV Medicine — Trump, Congress prepare for new border wall fight The Memo: Trump and McCabe go to war McCabe book: Sessions once said FBI was better off when it 'only hired Irishmen' MORE — and the list includes Sen. Ted CruzRafael (Ted) Edward CruzPoll shows competitive matchup if O’Rourke ran for Senate again Democrats veer left as Trump cements hold on Republicans O’Rourke heading to Wisconsin amid 2020 speculation 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 ClintonOvernight Defense: Trump declares border emergency | .6B in military construction funds to be used for wall | Trump believes Obama would have started war with North Korea | Pentagon delivers aid for Venezuelan migrants Sarah Sanders says she was interviewed by Mueller's office Trump: I believe Obama would have gone to war with North Korea 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.