Among the new cases, 19 are truck drivers from Elegu, Malaba, Busia and Mutukula border points.
The other 13 are contacts from previously confirmed truck drivers and 'alerts', according to a statement released by the health ministry on Tuesday.
Despite knowing the risk, President Museveni has continously insisted on having truck drivers coming into the country, arguing that stopping cargo from coming in would be a very grave mistake.
In this case, foreign truck drivers who test positive for the virus are then handed over to their respective country authorities while the Ugandans are immediately taken for treatment.
While addressing the nation on Monday to guide on the way forward, President Museveni reiterated on the need for calm in regard to the truck drivers who are seemingly the new epicentre of the soaring Covid-19 cases in Uganda.