From Ottoman Turkish صوجوق (sucuk), ultimately from Oğuz Turkic, a diminutive form of Old Turkic sugut- (suğut) ('to make arid, dehumidify') referring to the meat being dried before processing.https://www.nisanyansozluk.com/kelime/sucuk
Persian زیجک (zijak) must be a Turkic borrowing, says Nişanyan.https://www.nisanyansozluk.com/kelime/sucuk