At CRYPTO 2004, Kurosawa and Desmedt presented a new hybrid encryption scheme that is chosen-ciphertext (CCA2) secure in the standard model. Until now it was unknown if the key encapsulation part of the Kurosawa-Desmedt scheme by itself is still CCA2-secure or not. In this note we answer this question to the negative, namely we present a simple CCA2 attack on the Kurosawa-Desmedt key encapsulation mechanism. Our attack further supports the design paradigm of Kurosawa and Desmedt to build CCA2-secure hybrid encryption from weak key encapsulation.