Kennedy has been plagued by hamstring injuries all season and another twinge means he will not feature at Ashton Gate.
On-loan Celtic man Darren O`Dea is likely to deputise as Paul Jewell`s side look for a win which would take them into the top half.
Teenage forward Connor Wickham earned a point in the 3-3 draw with Middlesbrough midweek after he moved from his station on the left into the centre and he could start through the middle.
That would see winger Lee Martin coming into the side and Jason Scotland dropping out.
Jewell has no other injury concerns but will continue to give Arran Lee-Barrett his chance in goal.
Source: PA
Source: PA