The 34-year-old found playing time difficult to come by when Mark Hughes was in charge at the beginning of the season, but he has since become a key player and club captain
The centre-back fell out of favour under the stewardship of Mark Hughes, only managing sporadic appearances, but he has become an important part of Redknapp's side and club captain since Ryan Nelsen's departure.
Redknapp took over from Hughes on November 24 of last year and after making just six league appearances before then, he has played 13 since.
Hill's current deal runs out at the end of the season but the former Tottenham boss is confident the 34-year-old can keep playing.
Speaking to reporters, Redknapp said: "Yeah, I'm sure Clint can play on.
"He's a good pro, he's a good lad. He puts his body on the line for the club, and I'm sure he can keep going."