Totally real discs in non-pseudoconvex boundaries

LetD be a relatively compact domain inC² with smooth connected boundary ?D. A compact setK??D is called removable if any continuous CR function defined on ?D/K admits a holomorphic extension toD. IfD is strictly pseudoconvex, a theorem of B. Jöricke states that any compactK contained in a smooth totally real discS??D is removable. In the present article we show that this theorem is true without any assumption on pseudoconvexity.