The Austria captain is being linked with a move to the Saudi Pro League.
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But Alaba insists: "I've been in football long enough to know that rumours are part of the job.
"I don't dwell on it too much, and I laughed a lot because none of it was true, it was false."
Alaba also reassured fans about his condition, sounding optimistic about his return to the pitch.
He said: "I feel good now, I've improved a lot lately. I think I can play 90 minutes for the national team, although I don't know if it would be wise."