It's generally not recommended to dye your hair immediately after bleaching. Bleaching opens up the hair cuticles to remove natural pigments, which can leave the hair extremely porous and vulnerable to further damage. To allow the hair to recover and to achieve optimal results when dyeing, it's essential to wait for a period after bleaching.

Here's why waiting is important:

1. Letting the Cuticle Heal: Bleaching weakens the hair's structure and raises the cuticle layer. Allowing some time for the cuticle to close and the hair to rest will improve the overall condition of the hair before subjecting it to another chemical process.
2. Assessing Results: After bleaching, you should evaluate the final color to determine if further dyeing is necessary. Sometimes the bleached color might be satisfactory or can be toned to the desired shade instead of applying a new dye.
3. Reducing Damage: Applying dye right after bleaching could lead to extreme dryness, breakage, or even hair loss due to excessive stress on the hair fibers.
4. Color Absorption: Freshly bleached hair may not absorb dye the same way as healthy hair, leading to unpredictable results.

A general rule of thumb is to wait at least 24 to 48 hours after bleaching before dyeing your hair. However, some professionals suggest waiting a week or more, especially if your hair has been heavily bleached or is naturally fragile. During this waiting period, you should nourish your hair with deep conditioning treatments to restore its health and prepare it for coloring. Always follow the advice of a professional stylist for personalized recommendations based on your hair's condition.