Tottenham host Blackburn at White Hart Lane on Sunday looking to arrest an alarming run of one win in their last nine Barclays Premier League matches.
Despite keeping up with pace-setters Manchester United and Manchester City for the first half of the season, Spurs are now in real danger of missing out on the Champions League.
The Londoners could be six points behind Newcastle by the time they take on Steve Kean's men and even if they finish in fourth, they will miss out on qualification if Chelsea beat Bayern Munich in next month's European Cup final in Germany.
On the pitch Spurs look like a pale imitation of the team that tore apart most of the teams in the division earlier this season, but King insists they can pick themselves up and win all four of their remaining games.
"We can turn it around. Of course we can," King told Spurs TV Online.
"We still have four winnable games to play and if we perform to our capabilities then we can win those games.
"Last week's (1-0) defeat at QPR was disappointing for us.
"I felt we had a lot of the ball and didn't create too many chances but we just didn't get the break.
"That game was tough to take, but we want to put a few things right against Blackburn and get the points on Sunday."
Redknapp has had to endure a difficult week, with Spurs defender Vedran Corluka - now on loan at Bayer Leverkusen - claiming that the manager's failure to rotate his squad is likely to cost them a place in the top four.
Redknapp also had to deal with questions about a reported bust-up with striker Emmanuel Adebayor - something he vehemently denies took place.
King is at a loss to explain why he and his team-mates have failed to deliver recently and concedes confidence has dropped because of the club's form.
"Confidence is important in football and it is a bit low at the moment," the defender added.
"It's a difficult one to explain. We have been scratching our heads ourselves.
"A lot of the performances haven't been too bad. We've had the odd one but all in all there have not been too many games where we haven't dominated.
"We have just been lacking a bit in scoring goals at the moment, but we can tighten up at the back too. It's related to the whole team."
King, who has not been immune from criticism himself in recent weeks, is likely to be partnered at the back by Younes Kaboul on Sunday after the France centre-half recovered from a knee injury.
The pair are likely to have a busy afternoon keeping Ayegbeni Yakubu under wraps.
The Nigerian has turned out to be one of the buys of the season and without his 17 goals, Rovers would surely have already been relegated by now.
"He has been brilliant for them," King said.
"His goals have given them a good chance of staying up.
"He is a tough player to play against. He is strong and a great finisher so we will have to keep an eye on him."
Rovers boss Kean has had to deal with abuse from his own fans for most of the season as the club have struggled in their battle for survival.
Redknapp thinks the Scot, whose team are three points from safety, has been harshly treated.
"He has done fantastic," Redknapp said.
"He has had a lot of abuse but he has kept going. That couldn't have been a lot of fun, could it?"