Chaffetz, who is chairman of the House Committee on Oversight and Government Reform, announced earlier this year he would leave Congress at the end of his term in April.
The Senate Intelligence Committee on Wednesday formally invited fired FBI Director James Comey to testify, and asked FBI Acting Director Andrew McCabe for any memos or other notes the FBI possesses from Comey about his communications with administration officials.
The White House on Wednesday disputed the account of the Trump-Comey conversation on Flynn, fired by Trump for concealing at least one conversation with the Russian ambassador.
Republican Senate Intelligence Committee Chairman Richard Burr on Tuesday said the burden on proof is on the New York Times, which first reported the Comey memo, to publish it.
Both the House and Select Senate Intelligence Committees are investigating Russian attempts to manipulate the outcome of the 2016 USA presidential election as well as allegations of collusion between members of the Trump campaign and high-ranking Russian officials.
In a memo written in February, Comey wrote that Trump asked him during a one-on-one meeting to stop investigating former national security adviser Michael Flynn, The Times reported.
Gov. Gary Herbert said during his monthly KUED news conference Thursday that he talked to Chaffetz on Wednesday and believes an announcement is "imminent". "He is a good guy".
He does think Trump made the right decision to let Flynn go, and "knowing what we know now", perhaps Flynn should not have been appointed.
Chaffetz took on the chairmanship of the House Oversight Committee in 2015, following Rep. Darrell Issa (R-Calif.). The FBI is investigating to determine whether Trump or his associates colluded with Russian Federation, although no evidence to support the allegation has surfaced.
"It's just not common that you go out and fire an FBI Director", he said.
The Intelligence panel also sought his testimony in open or closed session. Mr. Chaffetz won 73% of the vote in the 2016 election and Utah's entire congressional delegation is Republican.