Praise be to Allah, the Lord of the Worlds; and may His blessings and peace be upon our Prophet Muhammad and upon all his Family and Companions.
Ejaculation of sperm without spurting and having not stimulation at the time of wakefulness does not require a ritual bath as decided by the majority of Muslim scholars. However, one has to make Wudu for such ejaculation.
Know that if ejaculation is normal i.e. gushed out with stimulation then taking a bath becomes an obligation since there is agreement among jurists on this issue.
Know that the discharge that comes out after urination is called al-wadi which is different from sperm. It is a white thick secretion discharged in the form of drops without any stimulation. It is impure like urine but taking a bath is not compulsory for this discharge.
Allah knows best