Dr Rashid Aman, the Chief Administrative Secretary for Health, said during his daily update in Nairobi that they were monitoring Kibera closely and a section could be put on lockdown if Covid-19 cases continue to rise.
Kibera now has 170 positive cases recorded from the area, the highest in the city.
Eastleigh and Mombasa's Old Town, which are on lockdown until June 6, 2020, were sealed off by Health Cabinet Secretary Mutahi Kagwe on May 6 after recording 58 and 67 cases, respectively.
On Saturday, Dr Aman said that if the numbers in Kibera keep increasing, then necessary action will be taken.
Health Director General Patrick Amoth, on Sunday, said densely populated informal settlements have become hotspots for the disease.