I could use some expertise here:

I made up thick legs for a sideboard by gluing together a stack of three boards milled from 4/4 oak boards, then laminating shop-made veneers 1/8th thick to cover the exposed edges–after jointing everything to prepare the surface, of course. I used Titebond 2.

3 of the 4 legs came out fine, but in one the veneer didn’t adhere to the workpiece all the way along one edge–there is a noticeable gap. which I can close with hand pressure. 

While I can jam white glue into the void using a knife to force it down, then reclamp, I’m concerned that the gap’s insides aren’t bare wood but have Titebond inside stuck to the wood that failed to hold during the initial glue up. I don’t know that Titebond will adhere to itself–Old Brown Glue explicitly makes this claim.

Any suggestions here?