The Swans have made six signings this summer, bringing in midfielder Andre Ayew, defender Franck Tabanou, forwards Eder and Oliver McBurnie, and goalkeepers Kristoffer Nordfeldt and Josh Vickers.
“I think we are done (in terms of adding), I am not actively looking for anyone,” Monk told the South Wales Evening Post.
“You can never say never, but nothing is imminent or anything like that,” the manager added. “I am very happy with the squad I have got.”
Swansea have enjoyed an impressive start to their campaign, earning a 2-2 draw at Chelsea before beating Newcastle 2-0 at the Liberty Stadium on Saturday.
“The squad I have is the one I wanted. We worked hard in the summer to get everything sorted early so we had good preparation time, and you can see in how we have started that is proving beneficial,” added Monk.