Officials in Keiyo district decided on the measure a week after six cases of the disease were confirmed in the area, The Standard newspaper reported Tuesday.
Rwandan officials have maintained that the country is safe though neighbouring Uganda and DR Congo have already reported case of the flu. However, the situation in Rwanda could be compounded by the fact that suspected cases can only have the sample taken and flown to South Africa because the country does not have testing materials.
The affected Kenyan district which directly borders Uganda is screening about 100 suspected cases of flu a month to check if the virus has infected them.
Kenya joined the global swine flu watch list in June when a visiting British student from Nottingham University became the first to be diagnosed with the disease. Nine of his colleagues also tested positive and they were quarantined at a Kisumu hotel before they flew back to Britain.
Since it was first reported in April, swine flu has infected more than 162,000 people in at least 168 countries, and caused more than 1,100 deaths.