The Gunners have been busy already during the current transfer window, bringing in Stephan Lichtsteiner, Bernd Leno, Sokratis Papastathopoulos, Lucas Torreira and Matteo Guendouzi to strengthen their squad.
Reports continue to link Arsenal with a new winger as well as Steven N'Zonzi from Emery's former club Sevilla, but the new boss insists that it would have to be a "big opportunity" to bring any further additions into the group.
"Normally, in my career the big clubs don't close the [door] or the moment to sign a new player," he told reporters.
"Today, we are okay. Maybe we can bring in one if there's a very good possibility for them to help us, but the club has done a great job of signing new players and I am happy.
"We signed the players who we needed and only if one player is a big opportunity for us will we sign them. We will only sign a player in the next month if he's a big opportunity."
Arsenal will begin the new Premier League season at home to champions Manchester City.