They are the drivers of the Secretary for Innovation and Technology, Alfred Sit, and his deputy, David Chung.
Sit and Chung have taken rapid tests for Covid-19 and the results have come back negative.
On Sunday, the driver of Environment Secretary Wong Kam-sing also tested positive for the coronavirus.
Wong returned to work on Tuesday after his deep throat saliva test came back negative.
Meanwhile, Legco president Andrew Leung is working from home after his driver tested preliminary positive for Covid-19 on Monday.