Cleaning a sweaty leather guitar strap

[GColdtimer]

Can anyone help. DH has done a number of gigs recently in unbearable heat. As a result his guitar strap has become really sweaty and stinky. What's more when it gets wet the dye on the underside rubs off on absolutely everything. Any ideas on how to clean it? I think the underside is suede. Thanks

[WhyOWhyWouldYou]

I would use a damp sponge to remove any residual sweat then treat with saddle soap.