Wear a thumb brace for Carpal Tunnel syndrome. Actually, most of the time, Carpal Tunnel Syndrome affects wrist and thumb all together, and even part or all of your fingers. Therefore, probably you would need to use Carpal Tunnel gloves, or an all in one wrist and thumb brace.
As a reminder, a Carpal Tunnel Syndrome is caused by a compression or an increased pressure on your median nerve. This nerve starts in your forearm and crosses to hand, thumb and fingers.
Why to use a thumb splint or gloves for Carpal Tunnel?
The use of a thumb splint or gloves for Carpal Tunnel Syndrome would stabilize your thumb, and prevents it for worsening. A thumb brace is your best mean to heal faster.