Comey did take issue with the February New York Times report during his testimony last week.
Senate Minority Leader Chuck Schumer on Sunday called on President Trump to testify before the Senate about the Russian investigation - since the commander-in-chief said he would be "100 percent" willing to speak.
Mr Sessions, a former senator and an early supporter of Mr Trump's election campaign, will be the most senior government official to testify to the committee on the Russian Federation issue.
Sessions, a former Republican senator from Alabama, will face tough questions from his former colleagues on a number of fronts that he has never had to publicly address in detail.
Sessions had been scheduled to testify on June 13 before the House and Senate subcommittees that oversee his department's budget, but will now testify to the intelligence panel instead, he said on Saturday in letters to the chairmen of those subcommittees, reports CNN.
It will be Session's first time testifying before Congress since he became attorney general.
The panel, with jurisdiction over the Department of Justice and FBI, has been seeking copies of former FBI Director James Comey's notes and memos about his encounters with President Donald Trump.
Trump has responded to Comey's assertions by accusing him of lying.
Jury begins deliberating charges brought against officer who fatally shot Philando Castile
Castile responded, "I was reaching", but before he finished, Yanez, with right hand on his holster, said, "Don't pull it out". Yanez shot the 32-year-old school cafeteria worker seconds after Castile informed him he had a gun during a traffic stop.
Russian Federation has denied interfering in the USA election.
King added that he would like to ask Sessions about any meetings he had with Russian officials during the 2016 campaign and about his role in the firing of James Comey as Federal Bureau of Investigation director.
The White House on Monday suggested Sessions could invoke executive privilege during his testimony depending on "the scope of the questions".
Whether that hearing will be public or closed is not known.
Though the Justice Department maintains that it has fully disclosed the extent of Sessions' foreign contacts previous year, lawmakers have continued to press him for answers about an April 2016 event at the Mayflower Hotel in Washington, where both Sessions and Kislyak attended a foreign policy speech by Trump.
Trump has denied Comey's version of events.
When asked what she thought of Comey's testimony, in which he said Trump suggested he drop a probe into former National Security adviser Michael Flynn's Russian Federation contacts, Ivanka Trump said her father felt "very vindicated.and feels incredibly optimistic". White House spokesman Sean Spicer declined to say that Sessions enjoyed Trump's confidence.
"I hope you can see your way clear to letting this go, to letting Flynn go", Comey quoted Trump as saying.
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