Wenger, whose side now enjoy a two-goal lead at the top of the league, worries that with players set to return from injury his squad will be too big to maintain levels of competition.
However, the Frenchman notably did not rule out a move should the right player become available:
We have a squad that is, number and quality wise, very, very good. After that in January we are not desperate (to buy) now.
If there is a good opportunity (to buy), why not? But if you know who is out injured now, they will come back in November, the beginning of December, then you have a really massive squad.
With the number of competitions involved, everybody thinks they have a chance to play. That is what is the most important. As long as you fight for things, everybody keeps the focus.
For Arsenal, most transfer speculation has focused in two areas since the end of the summer window—defensive midfield and centre-forward.
While goalkeeper Iker Casillas was tentatively linked last week, per the Express' Charles Perrin, the form of current No. 1 Wojciech Szczesny this season means any move is unlikely at present.
There is a fine balancing act to strike for Wenger. While all is going well right now, the only significant addition this summer was Mesut Ozil to a team that finished 16 points off top spot last campaign.
Having made such a bold statement in signing the £42.4 million German in August, it would be a risk not to attempt to consolidate upon the club's growing momentum in January.
The defensive midfield and centre-forward positions, currently occupied by Mathieu Flamini and Olivier Giroud, lack depth, while it is important to note that the club have only played Tottenham of their major competitors for a top-four place.
A 4-1 victory at home to Norwich is impressive, but it is over the next two months that we will discover if Arsenal are legitimate title contenders—while two European clashes with Borussia Dortmund will also say much of their current status in elite-level competition.
Wenger does have plenty of big names to return. Lukas Podolski, Alex Oxlade-Chamberlain, Theo Walcott, Abou Diaby and Bacary Sagna are all currently sidelined.
For the moment, all is well at Arsenal, but Wenger and the club's supporters will soon find out if further signings are needed come January.
The Emirates Stadium is a positive place at present, but with no trophies since 2005, it will be interesting to see how the Gunners respond to adversity when it inevitably strikes this season.