Keown was discussing the chances of several different candidates for a Champions League place this season, with the only certainty in his mind being that of Chelsea and Manchester City's presence in the top four.
Beyond that, the competition is close. As far as Tottenham are concerned, they are right in the mix, despite a relatively poor start to the campaign.
Mauricio Pochettino's side beat league-leaders Chelsea 5-3 recently, only to lose at Crystal Palace the following week.
Keown, however, believes Spurs could be dark horses for a top-four spot.
"Everybody was waiting for the Southampton bubble to burst but you don’t get this far and get this many points without being serious contenders. They are enjoying the ride and have a fantastic manager," the former Arsenal defender said during a 'Tackle Keown' session.
"Liverpool again lack consistency at the moment and I wonder if Tottenham could be dark horses. They lost against Palace but had a good run before that and the recovery in the cup could get their tails up."
As for Southampton, Keown's praise is understandable, with Ronald Koeman's men having won their first match at Manchester United for 27 years last weekend - their reward being a move into third place in the table.
Southampton travel to Newcastle United this weekend, while Tottenham host Sunderland at White Hart Lane.