President Yoon Suk-yeol arrives for work at the presidential office in Seoul, Oct. 13. Yonhap

President Yoon Suk-yeol said Thursday he is looking carefully at "various possibilities" on how to further strengthen U.S. extended deterrence against North Korea's growing nuclear threat.

The remark came after a Chosun Ilbo newspaper report that South Korea has asked the United States to have strategic assets, such as nuclear aircraft carriers or nuclear submarines, deployed to waters around the Korean Peninsula on a rotational basis around the clock in the event of a nuclear test by the North.

"As I said the other day, there are diverse opinions across our nation and in the United States regarding extended deterrence, so I am listening to them carefully and looking carefully at various possibilities," Yoon told reporters when asked to comment on the report.

"I'd like you to understand that it's difficult for a president to openly confirm or give a clear answer on such security issues," he added.