He continued, "It's perhaps consistent with the way this administration has looked at the burden sharing of all our allies, to include Japan and the North Atlantic Treaty Organisation allies".
The working-level talks last month in Sweden broke down over what the North Koreans described as the Americans' "old stance and attitude".
The United States has had troops in South Korea for over 69 years, since the beginning of the Korean War.
Seoul and Washington are haggling over sharing the cost of the presence of the 28,500-strong USFK in the country.
"Chairman Milley is expected to focus on South Korea increasing its contribution for defence costs and extending GSOMIA", a South Korean military source said. He made the remark while en route to Tokyo on Sunday.
Milley met his South Korean counterpart Usual Park Han-ki for the annual Protection drive Committee Meeting (MCM) on Thursday.
CNN said in a report that the general mood in South Korea is that politics is at play here and is prevailing over the need to preserve an agreement that has endured for over a half century. How much does it cost? The United States fears the termination of the agreement will jeopardize security as North Korea has resumed weapons testing amid stalled nuclear talks.
The third round of negotiation for the 11th Special Measures Agreement (SMA), a South Korea-U.S. accord to share defense cost for about 28,500 U.S. troops stationed here, was scheduled to be held in Seoul from November 18-19.
Seoul's Defence Ministry spokeswoman Choi Hyun-soo said on Thursday it would reexamine GSOMIA "if Japan withdraws its unjust retaliatory measures and friendly relations between the two countries recover".
"Our adversaries would love there to be an issue or challenge that drives a wedge in the alliance", Champoux said. -South Korean military drills, considering them preparation for a future invasion of the isolated dictatorship. He continued, "We are heading for a train wreck".
North Korea released an official statement Wednesday saying it felt "betrayed" by a planned US and South Korea joint military exercise, which is set to go ahead despite Pyongyang's repeated complaints.
Mr Esper also called for flexibility on joint military exercises that irk North Korea, which is in talks with the USA to end its nuclear programme."The goal of our forces and exercises is not only to buttress our diplomacy, but to also enable and empower it".
"If the negotiated solution of issues is possible, we are ready to meet with the U.S.at any place and any time", said Kim Myong Gil, who called for Washington to present a fundamental solution for discarding its "hostile policy" toward North Korea.
U.S. Defense Secretary Mark Esper on Friday pressed Washington's case that longtime ally South Korea must pay a bigger share of the cost of having U.S. troops on its soil.