Jamaica has received 45,000 doses of the Pfizer vaccine.
They arrived in the island around 10:00 pm on Wednesday at the Norman Manley International Airport.
The batch is a donation from the Suriname government.
Dr Tufton made the announcement on his twitter page noting that this is one of two shipments of the Pfizer vaccine to arrive.
He said another 100,000 doses are expected later this week.
Dr Tufton noted that persons awaiting their second dose can begin making their appointments as of 10 am on Thursday.
Earlier this week, Dr Tufton said that persons who are due their second doses will be given priority over the next two weeks.
Afterwards, only children aged 12 to 18 will be administered the Pfizer vaccine.
Administering of the Pfizer vaccine will resume on Monday November 1.