Koeman is leaving his current position at Feyenoord at the end of the season, and the former Barcelona defender has shown an interest in taking charge at Swansea.
Garry Monk is currently at the Liberty Stadium helm following Michael Laudrup's departure in early February, but there is uncertainty about his long-term future.
Goalkeeper Vorm believes that Monk should remain at Swansea in some capacity, but feels Koeman's interest in the role is a sign of how far the club have progressed over the past few years.
"With the Dutch boys, Jonathan de Guzman, Dwight Tiendalli and Marvin Emnes, it is a topic of conversation," Vorm told Voetbal International regarding the possibility of his fellow Dutchman becoming Swansea manager. "I don't know about the English and Spanish boys.
"I think that Koeman has been mentioned in the Dutch media, in particular, as a possible future coach.
"None of the Dutch players has previously worked with Koeman, so at Swansea it remains difficult for us to say anything about it. Though it is clear that he has done a good job at Feyenoord.
"It is a real honour for Swansea that a coach of Ronald Koeman's calibre is interested in managing the club.
"Something like that would have been unthinkable here a few years ago.
"But Garry Monk is a Swansea man, and I think it is important for someone like that to remain tied to the club."