The country's Deputy Prime Minister, Themba Masuku, said in a statement Dlamini was moved to "guide and fast track his recovery".
The southern African nation of around 1.2 million people has so far recorded 6,419 positive cases of the highly infectious respiratory disease, with 122 confirmed deaths, according to the World Health Organisation (WHO).
(Reporting by Lunga Masuku; editing by Mfuneko Toyana)