"Conway in an interview published Sunday in a New Jersey newspaper appeared to suggest that the Trump campaign may have been monitored "in any number of ways".
"We know this is a fact of modern life", she said.
After she tried to pivot to Obamacare and her hosts reminded her that the issue of wiretapping was raised by President Trump, Conway responded that "it's under investigation".
On Saturday 4 March President Trump accused his predecessor, President Barack Obama, of "wiretapping" Trump Tower during the 2016 election.
'The level of disrespect for the president of the United States and the way he is described by people, people whose approval rating is half of his frankly.is really beyond the pale, ' she said, continuing the back-and-forth with Cuomo on CNN.
The White House has asked that an investigation of the alleged wiretaps be part of the probe into Russia's interference in the presidential election.
President Donald Trump (L) and former President Barack Obama talk on the East front steps of the US Capitol after inauguration ceremonies in Washington, DC, January 20, 2017.
"I'm not in the job of having evidence".
However, based on Kellyanne's shocking new claims - that this could've even gone beyond just tapping phones - it certainly seems like the Trump team is standing behind his allegations.
Trump former campaign manager Kellyanne Conway, who is now counsellor to the president, spoke on ABC's Today show about the sensational allegations. Since Trump's allegation over a week ago, an Obama spokesperson denied the charge, FBI Director James Comey has pushed back against it as well, and Trump has failed to prove an ounce of evidence that he was spied upon. In the interview with the Bergen Record, Conway was asked about Trump's unsubstantiated claim Obama spied on him.
Senator John McCain appeared on CNN's "State of the Union" Sunday morning and called on President Trump to either release evidence that shows Obama ordered the Federal Bureau of Investigation to wiretap Trump Tower or retract the claim.
Speaking to press on Monday, Spicer said Trump doesn't believe it was Obama who "tapped 'trump's phone personally" but that the previous administration engaged in "surveillance and other activities". This goes to personal integrity, what kind of message you're putting out, ' he said.
She then added: "Microwaves that turn into cameras etc" - but it's fair to say not everyone agrees with Conway's claim.