The Dutchman has denied he is in the running for the vacancy at the Catalan giant while Luis Enrique and Gerardo Martino have emerged as candidates.
The Blaugrana's announcement the Spaniard would step down on Friday resulted in Koeman's name being mentioned, but the 50-year-old has denied he has thought about a return to his former club.
"No, I don't think about that at all. I care more about the disease Vilanova has," he told reporters after Feyenoord's friendly draw against Dordrecht. "Who is to become the coach? I don't know, as I do not interfere with that."
Another candidate appears in the form of ex-Barcelona B boss Luis Enrique, who has not been registered with the Spanish football federation by present side Celta ahead of the coming season.
That circumstance would allow the Camp Nou outfit to negotiate their playing alumnus' return through his 10 million euro clause with the Celestes, of whom Enrique only took charge in June.
The other option for the dugout is Newell's Old Boys trainer Gerardo Martino, who hails from Lionel Messi's native Rosario and possesses a growing reputation in South America, having coached Paraguay for four years.
The Argentine was already close to a switch to Spain after being considered for the Real Sociedad and Malaga roles earlier this summer.