Arteta’s side got past West Ham United 2-1 with goals from Rob Holding and Gabriel Magalhaes to hold on to fourth spot for now.
The twin wins means Arsenal are fourth on 63 points from 34 games, with Spurs fifth on 61 points from 34 games.
“Lets see,” Arteta said when asked if the race for fourth would go to the final day.” Another seven days to prepare for the match. The pressure is there and we both won so lets go.”
Tottenham are still due to host Arsenal in a critical North London derby on May 12.
Spurs boss Antonio Conte was delighted with his side, as they continue to find form to push for an unlikely top-four berth.
“It was of vital importance to us to stay in this race,” he said.
“No one could have imagined when I arrived in November we could be in this race still, but these players are deserving to fight for such an important place.
“It is not easy to qualify for the Champions League in England.”
Arsenal host struggling Leeds United next weekend, while Spurs have a huge task against title hopefuls Liverpool, before their derby clash.