Since taking office in January, US President Donald Trump has paused US military aid to Ukraine as well as intelligence-sharing.
He has accused Zelenskiy of not being serious about reaching a peace agreement with Russia, which invaded Ukraine three years ago and has seized about 20 per cent of its territory.
"Ukraine has been seeking peace from the very first second of this war. Realistic proposals are on the table. The key is to move quickly and effectively," Zelenskiy said on social media network X.
Zelenskiy said he would visit Saudi Arabia this week and that after meeting with Crown Prince Mohammed Bin Salman on Monday, Ukrainian diplomatic and military representatives would stay for a meeting on Tuesday with the US team.
"On our side, we are fully committed to constructive dialogue, and we hope to discuss and agree on the necessary decisions and steps," he said.
The Ukrainian delegation will include Foreign Minister Andrii Sybiha, Zelenskiy's chief of staff Andriy Yermak and Defence Minister Rustem Umerov.
Trump's special envoy Steve Witkoff has also said he was in discussions with Ukraine for a framework deal to end the three-year war with Russia, and a meeting was planned this week with a Ukrainian delegation in Saudi Arabia.
In February, Saudi Arabia hosted a meeting between US and Russian officials to discuss ways to halt the deadliest conflict in Europe since World War II.
Ukraine was not included in those talks, raising concern among officials in Kyiv and among its European allies.
Zelenskiy met Trump at the White House on February 28 but the encounter descended into acrimony when they clashed in front of the world's media over peace moves.
Meanwhile, Russian special forces crept miles through a major gas pipeline near the town of Sudzha in an attempt to surprise Ukrainian forces as part of a major offensive to eject Ukrainian soldiers from the western Russian region of Kursk, pro-Russian war bloggers said.
Thousands of Ukrainian soldiers seized about 1300 square km of Russia's Kursk region in August last year in what Kyiv said was an attempt to gain a bargaining chip in future negotiations and to force Russia to shift military forces from eastern Ukraine.
In its daily update on the situation in Kursk, Russia's Defence Ministry said its forces had retaken the village of Lebedevka, as well as seizing Novenke, a hamlet across the border in Ukraine's neighbouring Sumy region.
Yuri Podolyaka, a Ukrainian-born, pro-Russian military blogger, said Russian special forces had walked kilometres along the inside of the major gas pipeline and some had spent several days in the pipe before surprising Ukrainian forces from the rear near Sudzha.
Sudzha is the home of major gas transfer and measuring stations on a pipeline that used to carry Russian natural gas into the Ukrainian gas transmission system for onward transportation to Europe.
Pro-Russian war blogger Two Majors said a major battle was under way for Sudzha and that Russian forces had surprised Ukrainian soldiers by entering the area via a major gas pipeline.
