The way things currently stand, it looks as if two from Chelsea and the North London clubs will occupy the Champions League spots in the Premier League this season with the Blues occupying third place at the moment.
However, the former England goalkeeper believes that the Gunners will do enough to finish above Spurs this campaign.
"I think Arsenal are in great form at the moment so my worry would be for Tottenham," Seaman told talkSPORT.
"Chelsea are still firing and Tottenham have hit a little bit of a dodgy patch."
Seaman won four FA Cups, three league titles, the League Cup and the European Cup Winners' Cup during his 13-year tenure at Arsenal.