Despite clamour from supporters to recruit, the Gunners gaffer only intends to add to his squad by Thursday's deadline if a player can enhance his current side.
Wenger revealed former England captain David Beckham will train at Arsenal's Hertfordshire training base, but would not confirm an interest in Spain striker David Villa, saying only that Barcelona do not wish to sell.
"It's just like you go out and you buy anyone just to give people hope," Wenger said.
"I think what is important is that you bring in players who can strengthen your team, or you do nothing, you're strong enough to do nothing."
"I always said that what is important is to bring a player in who can strengthen the squad."
"'Anyone', for me, means just exactly what is today the modern game has become."
"In January it's very difficult to find players who strengthen your team when you're in our position."
Villa would undoubtedly improve the Arsenal squad, but Wenger is happy with the forwards at his disposal - Lukas Podolski, Olivier Giroud, Theo Walcott and Gervinho, who is currently at the African Nations Cup with Ivory Coast.
Wenger added: "It doesn't go away, but Barcelona doesn't want to sell David Villa. They have made that very, very clear."
"As numbers we have enough. We have plenty of quality strikers."
Wenger does not believe there is room to negotiate with Barcelona.
"You respect the desire (to keep a player)," he said. "If I say that somebody is not for transfer I expect the other clubs not to try to buy him."
Wenger believes the retention of Walcott, who signed a new long-term contract earlier this month, was important.
"It gives two messages out," he said.
"First: that we want to keep our best players and are capable to do it."
"Secondly, offensively we're not in the position where we have absolutely to be desperate to buy anybody because Theo can play through the middle and down the flanks."
Wenger was speaking ahead of Wednesday's Barclays Premier League clash with Liverpool.
Under Brendan Rodgers, Liverpool appear to be following Wenger's philosophy of trusting in young players.
It backfired for Rodgers when Liverpool were dumped out of the FA Cup by Oldham on Sunday, leading to criticism of the young players by the Northern Irishman.
"It's always a big disappointment to go out of the FA Cup," said Wenger, whose side edged past Brighton on Saturday.
"You never speculate because you never know really what exactly what kind of response you get."
"If he's not happy with their younger players they will not play on Wednesday.
"I think what is important for us is to be us at our best and cope with what Liverpool will offer us."
Arsenal will be boosted by the returns of Thomas Vermaelen from an ankle injury and Walcott, Jack Wilshere and Santi Cazorla, who dropped to the bench at Brighton at the Emirates Stadium.
Wenger's side have been inconsistent of late and sit sixth in the Premier League. Four points separate Arsenal and Tottenham, who occupy the final Champions League qualifying place and play Norwich on Wednesday night.
Liverpool are a place and three points behind in seventh.
Historically the clubs have challenged for the title and Wenger still believes the fixture is key.
"In your head you prepare that as a big game," Wenger said.
"It's a very important game for us now. The run that starts now, I said that after the Chelsea game, we cannot afford to drop points."
Meanwhile, Arsenal confirmed they will visit Indonesia this summer.
They will travel to Jakarta from July 13-14 and play an exhibition match against the Indonesian National Team at the Gelora Bung Karno Stadium.