Hide glue interfering with dye absorption?

[DanDSilva]

Hello again,

I recently constructed a sheath for an antique-style hunting cleaver with a by-knife and fork in side pockets.  The main sheath, side pockets and facing are all thin, molded veg-tan, with a small amount of Titebond hide glue to hold the facing in place.  This is the first time I've built a sheath like this.  I just dyed it this afternoon and found that in certain areas the dye was patchy.

I suspect these are areas where the glue either soaked through or got onto the outside.  Is this likely to be the problem?  If so, is there anything I can do about it at this point?

Thanks very much for any advice.

Edited Saturday at 09:55 PM by DanDSilva

[DanDSilva]

Forgot to add:  I'm using undiluted Fiebings Pro Black brushed with a wool dauber.