Allardyce said: "I can't speculate on that.
"Me saying I'm willing to use Fabio would upset Fabio; me saying that Ayew is definitely someone I want for this club means that Swansea could say I have upset this player by saying that I actually want him.
"If you look at past history, I think David O'Leary was probably the first to be punished for doing something like that. I don't like anybody taking my money off me."
The Black Cats are currently placed 19th in the league table, four points behind the Swans.
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