Arsene Wenger's side sit third in the league, three points ahead of fourth-placed Newcastle, following Saturday's goalless draw against Chelsea, although the Gunners have played a game more.
The north Londoners have taken just one point in the last two games, after the shock defeat against Wigan prior to their draw against Chelsea.
Stoke City, Norwich City and West Bromwich Albion make up Arsenal's three remaining fixtures, and Gibbs wants to finish strongly and take all nine points.
Their fate is in their own hands as they are three points ahead of Newcastle; however, should the Magpies win their game in hand they would stay in fourth due to their inferior goal difference.
Tottenham's hopes for a top-four finish took a huge blow after losing to QPR and dropping three points behind Newcastle.
"It has been tight all season. A lot of teams are competing and anything can happen," said the defender. "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."