Oliver mentioned Trump's press conference following the Comey testimony, in which he offered to testify himself. Whether that hearing will be public or closed is not yet known.
Comey's testimony was entertaining to Oliver, and the host highlighted key parts, including when Comey said he was "honestly concerned" that Trump would lie about the nature of their meetings so he documented every one.
The White House said Trump's push is aimed at training workers with specific skills for particular jobs that employers say they can't fill at a time of historically low unemployment. "We've obviously pressed the White House", he said.
U.S. President Donald Trump speaks after touring Waukesha County Technical College with his daughter Ivanka (L) and Wisconsin Gov. Scott Walker (R) in Pewaukee, Wisconsin, U.S., June 13, 2017.
Qatar rejects as baseless terrorism designations by four Arab states
The State Department had said the USA learned only at the last minute about the Arab nations' plan to cut ties. He warned that the Persian Gulf crisis is hindering USA efforts to fight the Islamic State group.
Comey, in last week's testimony, said he has no idea if the recordings exist, but he has a preference: "Lordy", he told senators, "I hope there are tapes". I am a retired career federal prosecutor who prosecuted white-collar crimes in 34 federal districts across the nation, and the simple fact is that former FBI director James Comey's belief or sense that President Donald Trump wanted him to drop the Michael Flynn investigation, even if that is an accurate assessment, is of no import. "We want to be able to get his side of it", Mr Lankford said.
But Comey believed that he was sacked because of his investigation into Russia's ties to the Trump campaign. Mr Comey was leading that probe.
But in response to a Freedom of Information Act request from The Wall Street Journal, the agency said it did not have any such records for the Trump administration.
On Friday, Trump's former campaign manager Corey Lewandowski criticized Comey as not "man enough" for having leaked the memo via his friend rather than doing it himself. "Totally illegal? Very 'cowardly!'" But, added Mr Lankford "releasing his memos is not damaging to national security".