The Gunners are one of four clubs currently vying for two Champions League qualification spots.
Despite currently leading the way, Gibbs has called upon his teammates to ensure that they take maximum points from upcoming encounters against Stoke City, Norwich City and West Bromwich Albion.
"It has been tight all season. A lot of teams are competing and anything can happen," the full-back told the club's official website.
"We have to finish the season strongly. The way we see it is that if we win our three games then we secure our position. We have three cup finals left to play.
"We shouldn't lose focus now. We have nine points to win, and we have a position to secure for next season. We must do that."
Gibbs has made 13 appearances in the Premier League this season.