The Nigeria striker only moved to Galatasaray in a permanent deal from Napoli last summer.
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However, Oliseh says he's been told Osimhen is being lined up for a sensational move to Real Madrid.
The former Juventus, Borussia Dortmund and Ajax star said on the Insight Podcast: "There's a lot of talk about Osimhen potentially joining Real Madrid.
"I won't say how I got this information, but I've been told he's going. We'll see what happens, but when I heard it from a prominent figure in Nigeria, I was very happy for the young man."