South Korea could have avoided getting entangled with the latest diplomatic rift with Japan, had it not put the issue to dealmaking, Oh said in a forum arranged by the Korea Press Foundation.
Moon continued to say the comfort women issue should be resolved based on the "principles of truth and justice", noting the agreement is flawed.
South Korea and Japan announced the deal on December 28, 2015, under which they agreed to "finally and irreversibly" resolve the comfort women issue, while Tokyo apologized for its colonial-era atrocities and agreed to contribute 1 billion yen (US$8.9 million) to a foundation dedicated to supporting the victims.
Seoul invited a survivor to meet President Trump during his visit to South Korea in November, which Japan criticized as not keeping with the spirit of the 2015 agreement.
It lets Japan off admitting direct responsibility for drafting thousands of Asian women, mostly Korean, into sexual slavery for the Imperial Army in World War II.
Moon said that he is not satisfied with the follow-up measures announced Tuesday but admitted that it was the results of taking into consideration of the country's relations with Japan as well.
However, Seoul has decided not to renegotiate, nor scrap the agreement as some had called for.
"With regard to a demand by South Korea for restoring the honor and dignity of former comfort women, a senior official of the Japanese Foreign Ministry said, "[Seoul] may be expecting that Prime Minister Shinzo Abe will send a letter of apology, among other steps".
The South Korea-Japan feud over the wartime sexual mobilization of Korean women is a humanitarian issue that shouldn't have been put to political negotiations, the former head of a South Korean task force in charge of reviewing a 2015 bilateral deal on the matter said Thursday.
"We can't accept Korea's request for us to do more, even though the two countries confirmed that the deal was final", Japanese Foreign Minister Taro Kono said.
Comfort women in China, Taiwan and the Philippines have been less vocal in demanding compensation and redress from the Japanese government than in South Korea, where the women are better organized and work with a coalition of activists.
Instead of using Tokyo's fund, however, Seoul will now pay victims with its own money.
Since the inauguration of the administration of South Korean President Moon Jae In in May previous year, the Japanese government has been urging South Korea to steadily implement the accord.
But Moon also said South Korea will try to separate historical issues from efforts to develop future-oriented cooperation with Tokyo.