Although there is less research into it than l-glutamine, there is rapidly growing interest into the effects of creatine supplementation on dysfunctions of the epithelial barrier (which would include intestinal permeability aka "leaky gut") [1]. The upshot is that it is an well studied supplement that is very well tolerated by almost everyone.
Zinc carnosine is another one that can be helpful, if tolerated. However it is believed that enteric-coated formulations are required to be effective (which may be hard to find) due to very high absorption rates and susceptibility to stomach acid prior to reaching the intestines [2].
[0] https://www.mayoclinic.org/drugs-supplements/glutamine-oral-...
[1] https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8145094/
[2] https://www.sciencedirect.com/science/article/pii/S221074012...