"Pardons have not been discussed, and pardons are not on the table", he said.
One of Trump's attorneys, Jay Sekulow, said the president has not discussed the issue of pardons with his outside legal team.
Scaramucci said Sunday that Trump told him even if he believed Russians interfered, he doesn't think anyone would ever find out.
The president's tweet about Sessions comes less than a week after Trump, in a New York Times interview, criticized Sessions for recusing himself from the Russian Federation probe, saying he should never have taken the job as attorney general.
"While all agree the U.S. president has the complete power to pardon, why think of that when only crime so far is LEAKS against us", Mr Trump wrote, in what many considered an indication that he may attempt to pardon himself or those close to him. The argument: The Constitution's section on presidential pardons doesn't explicitly say that he can't.
Michael Flynn, Trump's national security adviser, was let go only after he lied to Vice President Mike Pence about his conversations with Russian ambassador Sergey Kislyak.
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Trump took issue with what he calls an illegal intelligence leak that was the basis for a recent report on Attorney General Jeff Sessions. There's nobody around him that has to be pardoned.
But, according to communications director Anthony Scaramucci, Trump has at least been mulling the power. It appears as though Trump hopes to force Sessions to resign, but if he does not, it's not out of the question that he could fire him and then try to replace him with someone he feels is more suited for the job.
Sekulow said that while the president's legal team is monitoring potential conflicts, it hasn't raised any with Rod Rosenstein, the deputy attorney general who appointed Mueller after Attorney General Jeff Sessions recused himself from the Russian Federation investigation.
"After [one] year of investigation with zero evidence being found, Chuck Schumer just stated that 'Democrats should blame ourselves, not Russia, '" Trump also tweeted. It's also noteworthy that the exchange with Sessions was important enough to merit a report back to the Kremlin. Donald Trump Jr. and former campaign chairman Paul Manafort are discussing undergoing a private interview with the Senate Judiciary Committee.
Sessions, under questioning from Franken in his January confirmation hearing, denied meeting with any Russian officials during the campaign.
- If Sessions is fired or quits and can't get a replacement to serve, would Trump order Deputy Attorney General Rod J. Rosenstein (who would then be acting attorney general) to fire special counsel Robert S. Mueller III?