Kean's side sit bottom of the table after only one win in eight games and a third protest against his reign is planned prior to the clash with Spurs at Ewood Park.
But Redknapp, whose own team are on a five-match unbeaten run, insists the fans should instead concentrate on backing their team.
"It's always a shame when that (protests) happens to anyone,'' Redknapp said. "They need to get behind their team at the moment. That's more important. He is working hard and the fans need to stick with their team. It's their club and you have to keep supporting your team.''
Despite their poor form, Blackburn's solitary win in the Premier League this season was against Arsenal, something Redknapp will remind his team of in a bid to guard against complacency.
He added: "You don't go to Blackburn and get too many easy games. They beat Arsenal there this year so we have to make sure we don't underestimate the opposition.''
Spurs' form against the weaker teams in the division cost them a place in the Champions League last season, but they have rectified that this year by beating Wolves and Wigan on the road.
"If we are going to be a team that is going to be up there this year, we have to go and win these sort of games,'' Redknapp said. "We did it at Wigan and Wolves, and we could have won at Newcastle had we not conceded with a couple of minutes to go.''
Redknapp's team have lost just once - to Stoke on penalties in the Carling Cup - since they were hammered 5-1 by Manchester City on August 28. The City defeat followed another big loss to champions Manchester United, and came amid claims from the manager that the Luka Modric transfer saga was disrupting the harmony of the squad.
With new signings Scott Parker and Emmanuel Adebayor having quickly adapted to the team, Redknapp is glad to have seen his side turn the corner and move up to sixth in the table. He insists he never doubted his men would not turn their season around.
"The bad start didn't bother me,'' Redknapp said. "I didn't want to get beat, but I looked at the team against City and I knew it was going to be difficult. I had Niko Kranjcar playing in central midfield. He is a fantastic player playing wide, but he had never played in there before.
"It wasn't too easy that day but we are a better team now. Sandro is back, Scott Parker has made a massive difference to us and we want to keep our run of form up now. We have a good spirit and we are in good form. We are playing very well. I like us when we play. It's a pleasure to watch us most of the time.''
The Spurs boss will recall the likes of Rafael van der Vaart, Parker and Gareth Bale after they were rested for Thursday's 1-0 win over Rubin Kazan. Aaron Lennon and Sandro came through 70 minutes of the game as they stepped up their recovery from their respective groin and calf injuries, and should be available on Sunday.
Redknapp is not blessed with options in defence, however, with injuries to Ledley King, Vedran Corluka, Michael Dawson and William Gallas meaning Sebastien Bassong and Younes Kaboul are the club's only fit centre-backs.