Spurs are currently three points behind West Ham United in fourth place having won four of their Premier League games so far this season, but Allen thinks it is too much of an ask for the side to qualify for next season's Champions League.
He told TalkSport: “Tottenham can finish in the top six, but I don’t think it’ll be top four. Fifth or sixth will be there position at the end of the season. I believe it will be very much like last year, where they finished sixth.”
Competition for the top four places is going to be very stern this season. Chelsea and Manchester City seem to be the certainties to qualify for next season's competition, despite the latter's struggles of late, while Arsenal appear to be finding some sort of form in the league.
Manchester United have spent a vast amount of money on marquee names in order to try and get back into the competition following last season's disappointing seventh-place finish, and Liverpool will be aiming to consolidate their position in the top four after last season's unexpected second-place finish, and a transfer window which saw as many as nine players arrive at the club.
Also, the surprise packages of the season in West Ham United and Southampton can not be discounted at this stage as they occupy two of the places - with Southampton eight points clear of many of the likely candidates for the Champions League.
Spurs are evidently a side with ambitions of being in the Champions League on a more consistent basis, though making that step seems to have eluded them for the past couple of seasons. But a finish in the top six could be a good foundation for Pochettino to build on in his first season in charge.