Can Rabbits Eat Thyme? Yes, rabbits can eat thyme safely, and it can be a healthy addition to their diet in moderation. Thyme is an herb that is non-toxic to rabbits and can provide them with various nutritional benefits when offered as a treat. Can Rabbits Eat Sage? Yes, rabbits can eat sage, and it can be a healthy addition to their diet when offered in moderation. Sage is an herb that is non-to