The Gunners were held to a 1-1 draw at home by battling Everton on Sunday as they were unable to take full advantage of slip-ups from their title rivals earlier in the weekend.
Nevertheless, Arsenal edged a point further ahead of Chelsea, who had lost at Stoke, while also maintaining safe distance over Manchester City, two of the sides they will next face after their final Champions League group game in Naples on Wednesday.
"As long as we are five points ahead, you cannot rule ourselves out even with the best desire, so let's keep that cushion," said Wenger, whose side travel to City next Saturday and host Chelsea on December 23.
"It shows you that it will be a tough Premier League and the consistency in the end will be rewarded.
"The consistency for us is down to us to keep this attitude until the end of the season."
The Toffees, who had won at Manchester United in midweek, dominated for large spells at the Emirates Stadium, but fell behind to a close-range goal from Mesut Ozil with just 10 minutes left.
However, Roberto Martinez's well-drilled side produced an instant response as substitute Gerard Deulofeu, on loan from Barcelona, slotted home an equaliser as the Gunners defence were caught square.
Wenger said: "We played against a very good side, in the end we are a bit disappointed to get caught back with a 1-0 result, but overall it's still a point."