Mr Martin will attend alongside Minister for Tourism, Culture, Arts, Gaeltacht, Sport and Media Patrick O’Donovan and Minister of State for Sport Charlie McConalogue.
The three Government figures are expected to be present when President Trump awards the Irish Open trophy to the winner later this afternoon.
Offaly golfer Shane Lowry will head into the final round with a major chance of claiming his second Amgen Irish Open title after a superb third-round 65 gave him a four-shot overnight lead.
The 2009 champion at Baltray produced a brilliant putting display in front of President Trump, repeatedly saving par with his short game while also picking up crucial birdies.
There is no formal meeting scheduled between Mr Martin and President Trump.
However, the Taoiseach is likely to cross paths with the US president during the day, with President Trump potentially travelling around the course as he watches the closing stages of the tournament.
The US president remained largely stationed near the 18th hole during yesterday’s play, but could take a more active role today.
His movements around the course, and the possibility of further questions from journalists, could add an element of unpredictability to the final day of his Irish visit.
An armoured golf buggy is expected to help President Trump move around the Doonbeg resort while taking in the action.
President Trump is due to leave the resort for Shannon Airport on Marine One at around 7.30pm, with Air Force One expected to depart for the US before 8pm.
He received a warm reception at the resort last night when he made a brief appearance in the members’ bar.
Golfers and guests cheered, chanted “USA” and sang songs as the president walked through the bar.
President Trump also hosted a dinner for a number of golfers competing in the Irish Open, including Co Down’s Rory McIlroy.
He had earlier offered personal encouragement to McIlroy as the golfer completed his round.
