Arsenal's wait for Premier League glory is approaching its 11th year after the club finished fourth last season, five points adrift of champions Manchester City.
During that 2013-14 campaign, which saw them win the FA Cup, Arsenal lost seven games, with four of those coming against the so-called 'elite' clubs.
Speaking to reporters after Saturday's 1-0 pre-season defeat to the New York Red Bulls, Wenger was aware his side had to perform better in order to win their first league title since 2003-04.
"That we were not far [away], it was very tight. We wanted to add that little bit of quality which we missed in the end," the Frenchman said.
"It depends on one or two games at the end of the day. There's 38 games, we finished with 79 points, the winner of the championship had 86 so it was very tight.
"Hopefully we can get that little bit more quality in the decisive games. We were more consistent than everybody else against the lower teams, we performed less well against the top-level teams so that's what we have to gain."
"It was not ideal but we got away without any injuries," the Frenchman said.
"The bad thing is that we couldn't score and we lost the game, the good thing is that we gained something out of it physically and we have no injuries."
