"Ich gehe jetzt schlafen" seems the correct term.
You can say "ഞാൻ ഉറക്കുന്നു" (njan urakkunnu) in Malayalam to express "I'm going to sleep."
im going to sleep
now i am going to sleep with his wife
In Thai, you can say "ฉันจะไปนอนตอนนี้" (chan ja bpai non dton nee) for "I'm going to sleep now." If you're speaking more casually or to friends, you could simply say "จะไปนอนแล้ว" (ja bpai non laew).
Now in German is jetzt
You can say "நான் தூங்குவேன்" (Nāṉ tuṅkuvēṉ) to mean "I am going to sleep" in Tamil.
In welsh i am going to sleep is rydw i'n mynd i gysgu.
Both
In Spanish, sleep is "dormir." In French, sleep is "dormir." In German, sleep is "schlafen." In Japanese, sleep is "眠る (nemuru)."
Are you going to sleep is est-ce que tu vas dormir ? in French.
Depending on context, I am going can be translated as: Ich werde - Ich werde es am Montag machen - I am going to do it on Monday Ich gehe - Ich gehe jetzt - I am going now
You can say "من دارم میخوابم" (man daram mikhabam) in Farsi or Persian, which translates to "I am going to sleep."