"Think Unforgiven ... with a sword-wielding barbarian," the writer teased.
That sword-wielding barbarian will be played once more by Schwarzenegger, the now-67-year-old actor who first found fame in the title role of Conan.
In addition to the movie's star, Morgan hinted that at least three members of the 1982 cast would be seen once more in Legend Of Conan.
Along with keeping to the tone of Conan The Barbarian, the new movie will not follow either 1984's Conan The Destroyer or 2011's Jason Momoa-led remake.
The Legend Of Conan will instead directly follow Conan The Barbarian as a sequel, bypassing the stories set out in the other movies.
"[John] Milius was a visionary," Morgan said of the original film's co-writer and director.
"The goal, the dream, is to live up to his world. To make it worthy and to expand on it in a truthful way that audiences will embrace," he said.
Following in these footsteps will mean a "pretty brutal" movie in which "it's about the fastest and most effective way of disposing of your enemy".
"'In my opinion, Conan is beloved because of his political incorrectness. He doesn't think, he just acts," Morgan told his interviewers.
"People can relate to the freshness of somebody who doesn't give a damn about civilisation - in fact, despises it."
Based on 1930s-era stories by Robert E. Howard, Conan The Barbarian made more than $100 million in its initial release and help create Schwarzenegger as a star.
The pre-historic world of Conan was filled with savagery as the titular character sought revenge against Thulsa Doom (James Earl Jones), the leader of a snake cult who killed his parents.
- Daily Mail