"What is needed is for the US to stop its current way of calculation, and come to us with a new calculation," Kim said in a speech on Friday, Reuters reported, citing KCNA, North Korea's state media outlet.
The DPRK leader also noted that he will wait for the United States to decide "until the end of this year."
During a budget speech at the second day session of the 14th Supreme People's Assembly meeting on Friday, Kim also noted that his relations with Trump remain excellent, South Korea's Yonhap News Agency reported, citing KCNA.
The second meeting between Trump and Kim, which was held in Vietnam in February, collapsed as they left Hanoi without a deal or even a final statement.
Trump at the time told reporters that Pyongyang "wanted the sanctions lifted in their entirety" and that "we couldn't do that".
The two heads of state held their first-ever meeting in June 2018 in Singapore, which ended with a four-point declaration that paved the way toward renewed bilateral relations between the two countries and initiated denuclearisation talks, among other goals.
In early March, several US think tanks and Yonhap reported that satellite pictures showed the restoration of the Sohae Satellite Launching Station at Tongchang-ri, which North Korea pledged to dismantle after its summit with the United States in Singapore.
Trump said at the time he would be very disappointed in Kim if those reports turned out to be true.
The North Korean side has reportedly neither confirmed nor refuted this information.