Citing an unnamed government source, the South Korean news agency said the suspension was likely to affect only major joint exercises, not more routine military training.
U.S. President Donald Trump surprised officials in Seoul and Washington when he pledged to end "war games" after his summit with North Korean leader Kim Jong Un in Singapore last week.
However, in a sign Seoul may be open to suspending drills, South Korean President Moon Jae-in said on Thursday his government would need to be flexible when it came to applying military pressure on North Korea if it was sincere about denuclearisation.
Moon said South Korea would carefully consider joint military drills with the United States and he asked his officials to cooperate with the United States on the issue, his office said in a statement at the time.
Yonhap also reported on Sunday that during military talks between the two Koreas on Thursday, South Korean officials asked their northern counterparts to relocate artillery 30 to 40 kilometres away from the heavily fortified military demarcation line that divides the two countries.
The South's defense ministry denied it made such a request, Yonhap said.
The talks, the first in more than a decade, held in the border village of Panmunjom in the demilitarised zone (DMZ), followed an inter-Korean summit in April at which leaders of the two Koreas agreed to defuse tensions and cease "all hostile acts".
North and South Korea failed to reach any concrete agreement during those talks, officials said.
About 28,500 U.S. troops are stationed in South Korea, a legacy of the Korean War, which ended in 1953 in an armistice that left the two Koreas technically still at war.
At a Senate hearing on Thursday, Trump's nominee to be ambassador to South Korea, retired Admiral Harry Harris, backed the idea of a "pause" in major military exercises. He said his understanding was that any suspension would involve only major military exercises and that regular training of U.S. forces in South Korea would continue, although final decisions were up to the Department of Defense.
The U.S.-South Korean exercise calendar hits a high point every year with the Foal Eagle and Max Thunder drills, which both wrapped up last month.
The next major drill, Ulchi Freedom Guardian, is planned for the end of the summer.
Last year, 17,500 American and more than 50,000 South Korean troops participated in the Ulchi Freedom Guardian drills, although the exercise is mostly focused on computerised simulations rather than live field exercises that use weapons, tanks or aircraft.
(Except for the headline, this story has not been edited by NDTV staff and is published from a syndicated feed.)
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