Lingwati takes over the armband following Linda Mntambo’s departure to Chippa United.
However, the 25-year-old, who joined Cosmos from TS Academy in 2013, is suspended for the next two matches against Real Kings and Cape Town All Stars after being sent off in December's 2-1 home win over Mthatha Bucks.
Vice-captain Denzil Haoseb will lead the side in Lingwati's absence.
Meanwhile, Ezenkosi have been boosted by the signing of Nkanyiso Zungu from AmaZulu, while they have recalled striker Lefa Hlongwane from a six-month loan spell at Tshakhuma Tsha Madzivhadila.
Tebogo Mabula, Mduduzi Sibeko and Bojosi 'Josta' Manjoe have also recovered from injury.
Jomo Sono's side are two points behind National First Division leaders Highlands Park after 15 games.