The KCNA report said Assad made the comments about a possible trip to North Korea last week while receiving the credentials of the North Korean ambassador. The report did not say why it took almost a week to note Assad's purported comments.
"I am going to visit the DPRK and meet HE Kim Jong Un," Assad was quoted saying in the report, using the initials for North Korea's official name and referring to Kim using letters that stand for "his excellency."
Assad's only trips outside Syria since 2011 have been several trips to key ally Russia, most recently in May.
The exact scope of the discussions planned for the Singapore summit remains unclear. The Trump Administration hopes the Singapore summit will bring clear pledges from Kim to being rolling back the country's nuclear programme.
The North, meanwhile, has noted possible stumbling blocks for the talks, including denunciations of upcoming military exercises involving the United States and South Korea.
But Kim has also conducted his own parallel outreach - holding two meetings with South Korea's President, Moon Jae In, and sending envoys to meet with teams from the South on other initiatives such as possible gatherings for families separated by the Korean War more than 60 years ago.
In addition, Kim has made two trips to China in recent months and met last week with Russian Foreign Minister Sergey Lavrov.
Syria and North Korea have maintained close relations for decades. A Syrian nuclear reactor destroyed in an Israeli airstrike in 2007 was believed to be built partly on North Korean designs.
