Instead, the French boss has claimed that he will be more concerned with ensuring that some of his key players regain fitness.
"We wanted to get at least one of our transfer targets sorted out early and we are pleased to have achieved it [by signing Lukas Podolksi]," said Wenger.
"The next phase of our signings will be to take care of our injured players and make sure they are back for the start of next season.
"I am thinking of players like Jack Wilshere, Abou Diaby and Per Mertesacker. When these guys are fit we have quite a big squad and before we can buy again we have to assess how many players we have."
The Gunners are currently third in the Premier League table.