Out of hospital, the reason to admit one’s soft, weak and feeble (5)

I haven't cracked this one yet — but the brilliant team at Fifteensquared have:

W h Y (the reason) missing or ‘out of’ ‘h’ (hospital) round or ‘admitting’ I’M (one’s) P (soft). As per comment 4: J Wellington WIMPY was a 7/15-wearing character in the Popeye cartoons