The 32-year-old was a free agent after leaving Sheffield Wednesday in January, having played just 132 minutes across seven games for the Owls.
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Redmond has signed a short-term deal with Rovers.
The midfielder spent 12 months with Besiktas for the 2022/23 season before returning to England to join Burnley ahead of moving to Hillsborough.
Blackburn are 19th in the Championship and four points clear of the relegation zone with seven games remaining.