as salam alaikum
if you are in a state of impurity in the sense that you need wudu, ghusl or tayammum, which is technically defined as "hadhath", there is not transmission of impurity to the clean clothes that your wear.
If you have some impure substances on your body like urine, blood. etc., which is technically defined as "khabath", and such impurities get in contact with your clean clothes, then they will become impure as well and need to be washed.
With prayers for your success.