The probe into alleged Russian meddling in the USA election is reportedly seeking White House files on President Donald Trump's time in office.
The Times also reported Tuesday that Mueller's office recently sent a document to the White House outlining 13 areas that investigators want additional details on.
Trump met with Russian Foreign Minister Sergei Lavrov on May 10 in the Oval Office - one day after the dismissal.
Senate panel to consider bills to protect special counsel Mueller from being fired The bipartisan bills seek to prevent the White House from derailing the Russian Federation investigation.
"The White House remains committed to cooperate fully with the special counsel", Cobb said.
Trump orders removal of all Kaspersky products from their networks and agencies
It said Thursday that it will continue to get its product to customers "through its website and other prominent retailers". Kaspersky has been in the spotlight for months over allegations of ties between the company and Russian intelligence.
Mr Mueller has also reportedly asked for any White House emails or documents relating to Paul Manafort, the former chief of the Trump campaign, the Washington Post claimed, as well as a number of other former campaign officials.
Mueller's team has not reached out for any additional documents or information from Trump. Flynn, who has come under scrutiny for apparent omissions on his federal lobbying forms, was forced out of the administration in February, a decision the White House has said was prompted because he lied to Vice President Mike Pence about contacts with Russian officials.
In January, White House counsel Don McGahn was briefed by then-Deputy Attorney General Sally Yates that Mr Flynn could be susceptible to blackmail by the Russian government.
He said it would be obstruction of justice if Trump fired Comey to stop the Russian Federation investigation, the HuffPost reported. Comey testified under oath that the president suggested he halt the FBI's investigation into former National Security Advisor Michael Flynn.
The special counsel has requested documents about a statement made a week before Comey's firing by the former White House press secretary, Sean Spicer.
The Russia investigation just took a major leap forward-straight into the Oval Office.
The previous night, Trump had tweeted that Comey "was the best thing that ever happened to Hillary Clinton in that he gave her a free pass for many bad deeds!"