King suffers with a persistent knee problem that prevents him from playing matches in quick succession.
However, Spurs are no longer in cup competitions and therefore do not have midweek matches scheduled for the rest of the term.
And Redknapp is confident of using centre-back King in the club's remaining 10 Premier League games.
"I think Ledley, with a bit of luck, could be available for the rest of the season," Redknapp said.
Pavlyuchenko"Ledley's problem is he can't do it on Saturday and midweek; but we've got no more midweek games, so I may well get Ledley available every week which would be a big boost."
Meanwhile, striker Roman Pavlyuchenko has insisted that he has no plans to leave White Hart Lane.
"I want to make it clear I am happy with Spurs and I want to win things here and have never said otherwise," he said. "London already feels like home.
"I am pleased because this is the strongest league in the world and Spurs are one of the biggest clubs in England. This is what every footballer dreams about."