Alec Baldwin has been Saturday Night Live's (SNL) go-to Donald Trump impersonator and now the actor may be taking his character to Broadway.

Speaking on The Howard Stern Show on Monday (11 December), Baldwin hinted at a possibility of doing a one-man stage show in the near future.

When Stern asked the actor if he wanted to play his Trump character outside of SNL, Baldwin admitted that he had indeed thought about turning his recent book, You Can't Spell America Without Me, into a Broadway production.

The book, which he co-authored with Kurt Andersen, is a parody where a fictional Donald Trump chronicles his first year as the US President.

The 59-year-old said that if the broadway show does happen, he would like to follow in the footsteps of fellow actor Will Ferrel, who did a solo performance of former President George W. Bush in You're Welcome America. "We may take the book and make it into a one-man show on Broadway, like Will Ferrell did the Bush thing," Baldwin told Stern.

Ferrel's act ran for over a month at the Cort Theatre in New York in 2009. Like Baldwin, his caricature of President Bush also originated on SNL.

Baldwin explained that his Trump act will not be on Broadway "for very long" and will be produced by SNL boss Lorne Michaels, who owns the rights to the actor's Trump impression.

"What Lorne did do was give me permission to write the book, which was up to him to do. This was all the genesis of this. Lorne owns my rendering of [the Trump impression]. It's his intellectual property, as it should be," said Baldwin.

The 30 Rock actor has been portraying Trump on SNL since September 2016. His impression of the current president has been received well by both critics and audience. In 2017, he won the Primetime Emmy Award for Outstanding Supporting Actor in a Comedy Series for his character and some of the videos of his SNL sketches have been watched over 20 million times on YouTube.

In the past, Baldwin has openly criticised Trump and even called him a "sexual predator" in an interview with the Los Angeles Times.