  We discuss the possibility of detecting a Higgs boson in electron-positron
collider experiments if large extra dimensions are realized in nature. In such
a case, the Higgs boson can decay invisibly by oscillating into a graviscalar
Kaluza-Klein (KK) tower. We show that the search for such a Higgs at an $e^+
e^-$ linear collider entails more complications than are usually thought of in
relation to an invisibly decaying Higgs.
