Only three farms have been confirmed through bulk milk testing as having Mycoplasma bovis - but the Ministry for Primary Industries says it is too early to speculate about final results.
The second bulk milk surveillance programme was being undertaken now as spring was the best time to test for the disease, the ministry said.
Infected animals were more likely to shed the bacteria after a stressful period, such as calving and the start of lactation.
To date, almost 10,000 of the country's 12,000 dairy farms had completed two rounds of testing, MPI said in an update.
The three properties confirmed through testing were already part of the MPI's tracing programme and all had previously known links with the disease. While that was very encouraging, it was still too early to speculate about the final results, the ministry said.