The former Spurs manager believes that the club should be targeting the last four of the competition.
Former Tottenham Hotspur manager Harry Redknapp has told BT Sport that his old side are not good enough to win the Champions League, but suggested that they should see reaching the semi-finals as a realistic target.
Spurs have made an encouraging start to their European campaign, following a disappointing opening defeat to Monaco with an impressive away win over CSKA Moscow.
They then clung on for a point away at Bayern Leverkusen on Tuesday night to leave themselves with four points from their first three matches, a respectable return considering the two difficult away games they have faced.
Redknapp knows all about leading the North London side out on Europe's biggest stage, having become only the second manager to lead the club to the top tier of European competition in 2010.
He led the side to reach the quarter-finals of the competition, beating both Inter and AC Milan on the way before being thrashed on aggregate by Real Madrid.
The former Spurs boss believes that it is still beyond the reach of the club to talk about winning the competition, but stressed that Mauricio Pochettino's side should be aiming to go one better than his managed and reach the last four.
Redknapp told BT Sport ahead of Tuesday's game: "I don't know about winning this tournament, it's a tough call. There are so many good teams in it. I can certainly see them getting out of the group and having a real run at it.
"If they made the semi-finals I think that would be a real achievement for them, but to win it would be maybe one step too far at the moment."
Spurs certainly seem to be coping at the moment with juggling Premier League title ambitions with their European campaign.
They should progress from their group, and will be confident, providing they avoid an unkind last-16 draw, of at least reaching the same quarter-final stage as they managed six years ago.