Reference: http://mufti.af.org.sa/ar/content/من-احتلم-في-ملابس-هل-يجوز-له-الصلاة-فيها-بعد-اغتساله
Question: [When] I have a wet dream, I have a bath [or shower] and wear the same clothing in which I had a wet dream; so is there any harm in that?
Response: There is no harm in that. However, from the aspect of cleanliness, washing them [is better]. Other than that, that which is correct is that sperm of the man is pure, and because of this, ‘Aa.ishah (radhi-yAllaahu ‘anhaa) said:
And she [also] said:
Indeed it is pure, and removing it from the clothing is [done only] from the aspect of cleanliness [and not because it is impure].