Sidibe made an ahead-of-schedule return from a hamstring problem to face Yeovil last week but suffered a recurrence of the injury.
Earlier in the week, manager Ronnie Moore was optimistic over the 33-year-old's prospects but now accepts he is facing a further fortnight on the sidelines.
Playmaker Andy Robinson remains out with a similar complaint, alongside winger Adam McGurk (collapsed lung).
Moore told Tranmere Player: "Sidibe won't play, he'll be a fortnight away.
"Robbo and Adam are three weeks away. So we're a little bit short but it's an opportunity for other lads."
One player to be handed that opportunity of late is Abdulai Bell-Baggie, and the former Rotherham winger will hope for a third consecutive start after putting pen to paper on a new contract at Prenton Park this week.