Redknapp's men looked set to earn the win that would have taken them ahead of fourth-place Manchester City when Jermain Defoe scored his 100th Spurs goal with 25 minutes left to put the hosts 2-1 up.
However, a superb lob from Baggies substitute Simon Cox meant that the Londoners had to settle for a point that seriously damages their hopes of dining at Europe's top table for a second successive year.
"It's going to be difficult but it's still all to play for," said Redknapp, who admits he is struggling to come to terms with the increased expectations thrust upon him because of this year's remarkable run in the competition.
"I find it hard that now everyone expects us to be in the Champions League," he added. Tottenham had never been in it before until this seas
on and suddenly it is like `we have to be in the Champions League'.
"Manchester City have gone out and spent God knows what to get above us. Arsenal, Manchester United and Chelsea are there every year, Liverpool will be there next year. It's difficult to get fourth. It has been a great season but it's not over yet."
Source: PA
Source: PA