In recent weeks, the Welsh outfit have been linked with a move for Montpellier midfielder Benjamin Stambouli, but Monk has calmed speculation.
"We have targets we are trying to negotiate with and hopefully we will have two or three in before the end of the window," Sky Sports News quotes Monk as saying.
"We've been linked with a million players, some I have heard of, some I haven't. But until these deals are done and dusted it would be wrong of me to talk about them while they are with other clubs."
The Swans began their Premier League campaign last weekend with a surprise 2-1 victory over Manchester United.