The lawmakers told Norwegian wire service Norwegian News Agency that Trump "had taken a huge and important step" toward peace with North Korea and disarmament.
Last month, 18 Republican lawmakers sent a letter to the Nobel Committee to pitch Trump for the Peace Prize because of his efforts to disarm North Korea. "This president is actually going to earn it".
But before placing your bets, you may want to read what some members of the five-strong Norwegian Nobel Committee, which chooses the victor of the $1 million prize each October, have written about the USA president in the past.
Christian Tybring-Gjedde and Per-Willy Amundsen belong to Norway's right-leaning Progressive Party, which favors small government and low taxes, and they hold anti-immigration and anti-Muslim views.
The Nobel Peace Prize is awarded to someone "who shall have done the most or the best work for fraternity between nations, the abolition or reduction of standing armies and for the holding and promotion of peace congresses", according to the prize's website.
But while a Nobel award would cause consternation among Trump's critics, he also has some high-profile supporters.
South Korean President Moon Jae-in said in April that Trump deserved the prize.
President Barack Obama, who received the Nobel Peace Prize in 2009, is the most recent American recipient. Jagland declined to comment on Trump's chances after the summit.
While the Norwegian Nobel committee is appointed by parliament, its decisions are independent.
Trump declared on Wednesday that "there is no longer a Nuclear Threat from North Korea".