A goal from Peter Crouch in the fourth minute was enough to secure a 1-0 victory against Blackburn at Ewood Park. However Redknapp feels Chelsea, who are three points ahead of his side will kick on now they have secured the services of Fernando Torres.
"For us to finish above them would be a real feat," he said. "They have spent about ?£70million in the transfer market. We have just got to keep going and it would be a fantastic achievement."
Redknapp added: "I would not write Chelsea off from winning the championship. Although Manchester United look as though they keep getting results they are not playing as well as they have done in the past.
"They are red-hot favourites but Chelsea have won the championship and have Torres to come in. They could go on a run and be a big danger to everyone."
The result was a boost for Redknapp given he had lost two players in Luka Modric and Steven Pienaar 24 hours before the game.
"I picked the team on Tuesday morning morning and I lost two of them," he said. "Luka had a pain in his stomach and needed an appendix operation.
"As for Pienaar..the other South African (Bongani Khumalo) thought his head was the ball and knocked him unconscious in training. We had to change it again. We were an attacking team, an open team.
Meanwhile Redknapp revealed that Ledley King's operation would be delayed until next week - after he lost his passport.
Redknapp said: "He should have had his operation. He couldn't make it. Why? It is a long story. (It's) next week now. He couldn't find his passport, so he couldn't fly out to have it done. He mislaid it. He was going to see a lady in Germany."
Source: PA
Source: PA