Jackson, 24, joined the German giants on loan from Chelsea last summer, with an option to buy for a reported £55 million fee after a certain number of appearances.
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The striker has struggled for game time, however, and it’s been reported that Bayern have no intention of keeping him beyond this season.
Manager Kompany has now admitted he doesn’t know whether Jackson will be retained or not.
He told reporters after Saturday's 3-2 Bundesliga win over Eintracht Frankfurt: "We enjoy having Nicolas Jackson with us.
“Any decision about the summer will be discussed with Nicolas himself and between the clubs. I don't have an answer now. The only thing I know is that we're very happy to have him."