Spurs remain in fifth, four points behind Manchester City, after a below par run of only one win in seven Premier League games.
“It’s going to be difficult but we’re still in there and it’s still all to play for,” Redknapp told the club’s official website. “We just have to keep going and finish as high as we can.
“If we finish in the top four again it would be fantastic. If not, we try again next season.”
Speaking about the disappointing draw against West Brom at the weekend, which saw the Baggies score a late equaliser, the current FA Premier League Manager of the Year said: “Saturday was a blow, but everyone has them. There are no easy games.
“I knew West Brom would be difficult and so it proved. They are a good team in good form and we couldn’t quite get over the finishing line.
“But we pick ourselves up, we’ve a big game at Chelsea next and we’ll get ready for that.
“It’s been a great season, we’ve had an unbelievable run in the Champions League, and the football we’ve played has been right out of the top drawer. And it’s not over yet.”
Spurs will travel to in-form Chelsea this Saturday with the odds stacked against it, having failed to beat the Blues at Stamford Bridge for 21 years.
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Harry Redknapp Refuses To Give Up In Race For Champions League Spot