But he was less apologetic about tweeting the content of the videos, saying he believed they depicted "radical Islamic terror".
There has been speculation that the trip could include Scotland - but the country's first minister, Nicola Sturgeon, has been among those who have argued it would be "unthinkable" for Mr Trump to be honoured with a state visit.
The Prime Minister also met Trump at Davos, discussing final plans for his state visit to the UK. 'I don't want to be involved with these people.
Trump told May to focus on "terrorism" in Britain instead.
Morgan's full interview with Trump will be aired on Sunday night on ITV.
However, the moment Morgan "broke the news" about Trump's stance on feminism, Twitterati took great interest in the statement.
"I support her, I support a lot of what she does and a lot of what she says". I would love to go there, as you know before this happened I was there a lot.
The US president stressed the warmth of ties insisting he and Mrs May "respect each other a lot" and were on the "same wavelength".
The President's sharing of the controversial videos sparked a Twitter row with UK Prime Minister Theresa May past year, after her spokesmansaid it was "wrong" to share the inflammatory posts with his followers.
As you can probably guess, not all Arsenal fans were too keen on the idea of Trump being associated with their football club.
Britain First, which was set up in 2011 by former members of the far-right British National Party (BNP), uses social media to gain attention for what it calls the "Islamification of the UK".
5 dead, multiple injured in Fayette County shooting
Gunfire broke out around 3 a.m.at the auto wash in Melcroft, about 53 miles southeast of Pittsburgh, WPXI reported . The facts were still being sorted out, but it was possible the shooter was among the victims, police said.