The uncapped 24-year-old has played 28 first-class games and has a number of high-profile admirers, including former players Nasser Hussain and Devon Malcolm.
"Jofra makes any team better," Stokes told The Doosra podcast on BBC Radio 5 Live.
"He is the most naturally gifted bowler I've seen and I don't think he quite realises how good he is. Some of the things he can do at the click of a finger are just 'wow'. It's pretty special to watch.
"To have someone at the pace he bowls and the skills he has... the selectors are going to be scratching their heads... it's a great position to be in as an England team when you've got a player with the skill level Jofra's got."
Archer and Stokes are team mates at Rajasthan Royals in the Indian Premier League.
In February, England coach Trevor Bayliss said a decision over Archer was the "final piece of the jigsaw" in their World Cup plans.
Hosts England, who are set to name their provisional squad next week, begin their World Cup campaign against South Africa at The Oval on May 30.
(Reporting by Shrivathsa Sridhar in Bengaluru; editing by Clare Fallon)
