Wenger's men will go another season without a Premier League title after faltering in 2014, although they are seemingly set for a fourth-placed finish ahead of Everton.
The Frenchman failed to add any reinforcements during the January transfer window, which many believed played a part in the club's downfall as they slipped out of contention.
"It will be busy, but the main thing for us will be to keep the stability because we feel we are close," said Wenger. "We want to add something that makes us even stronger, but, number wise, it will not be massive.
"From my experience, the World Cup years have always been very quiet until the end of the World Cup, with no players reachable.
"Everybody is focused in the country on their national team and there's not a lot happening. People are away.
"I believe this year again you will have to wait until July 15 to start going.
"You are not the only one who decides when the business is done because it's down to availability of players and the clubs who sell decide that."
