There are quite a few times House is in a hospital bed.
In A Hospital Bed: 1) Three Stories 1x21 2) No Reason 2x24 3) 97 segundos 4x03 4) You Don't Want To Know 4x08 (not really a hospital cama though) 5) Wilson's coração 4x16
Collapses: 1) No Reason 2x24 2) 97 segundos 4x03 3) You Don't Want To Know 4x08 4) House's Head 4x15 5) Birthmarks 5x04
Um not entirely sure what episode you are talking about because House is in a hospital cama quite often but the only time I think of him being sick is in "Three Stories". But he did not collaspe in that episode.