Democrats are certain to take issue with that assessment, given the impeachment of then-President Bill Clinton by the Republican-led House in 1998.
In a separate tweet, Trump said that "few people seem to care" about the Russia investigation and complained that some Democrats are "fighting hard to keep the Witch Hunt alive."
"They should focus on legislation or, even better, an investigation of how the ridiculous Collusion Delusion got started - so illegal!" Trump wrote.
The House Judiciary Committee voted along party lines Wednesday to subpoena the Mueller report and underlying documents from Barr.
In a previous letter to Congress, Barr said the special counsel did not establish a conspiracy between the Trump campaign and Russia. And he said that Mueller did not reach a conclusion "one way or the other" as to whether Trump's conduct in office constituted obstruction of justice.
Absent such a determination, Barr told lawmakers that he concluded the evidence was not sufficient to prove that the president obstructed justice.
The New York Times and Washington Post reported Wednesday that members of Mueller's team have complained to close associates that the evidence they gathered on obstruction was alarming and significant.
Trump was quick to suggest Wednesday that he is not inclined to cooperate with an effort by the House Ways and Means Committee to secure his tax returns, which Democrats think can shed light on numerous aspects of Trump's business dealings.
The committee gave the IRS until April 10 to respond to its request for the returns. The panel's chairman was able to make the request because of a 1924 law that gives the chairmen of the House Ways and Means Committee and the Senate Finance Committee broad powers to request and receive the tax returns of any American.
Trump broke with precedent when, first as a presidential candidate and then after he was elected, he refused to release his tax returns, contrary to the practice of every president since Richard Nixon. The explanation he gave was that he was being audited, although numerous experts have said that an audit would not have prevented him from releasing his returns.
At an event at the White House on Wednesday after Neal issued his request, Trump repeated the same explanation.
"We are under audit, despite what people said, and working that out - I'm always under audit, it seems, but I've been under audit for many years because the numbers are big, and I guess when you have a name, you're audited," Trump said. "But until such time as I'm not under audit, I would not be inclined to do it."
During an appearance Thursday morning on Fox News's "Fox & Friends," White House spokeswoman Sarah Sanders pointed to Trump's remarks Wednesday when asked whether Trump intends to let his returns become public.
Sanders said that Democrats' continuing scrutiny of Trump shows they are "sore losers" and "a sad excuse for a political party."
