Sidibe made his Rovers debut in Saturday's 5-1 triumph at Colchester but suffered a second-half hamstring injury.
The 33-year-old Mali international has returned to his parent club for treatment and is expected to be out for around a fortnight.
Sheffield Wednesday loanee Liam Palmer serves the final game of a three-match ban, while fellow midfielder James Wallace (knee) is expected to miss the rest of the season.
Winger Adam McGurk is facing at least a month on the sidelines due to a collapsed lung.
Victory at the weekend ended a run of four consecutive defeats for Ronnie Moore's promotion hopefuls and Ian Goodison is set to retain his place at centre-back after being recalled for a first appearance in two months.