The number of people in Richmondshire testing positive for Covid-10 has increased in recent days, the latest figures show.
Official data shows the daily average number of confirmed cases has started to go up again.
After a high of more than 22 positive cases a day in the first half of November, the average fell to below six in the first week of December.
However, the number has crept up to around ten positive tests a day since then.
The average is likely to be further affected by a spike of 23 positive tests on December 13.
There have been a total of 1,130 positive tests in the district since the pandemic began.
Office for National Statistics figures show 57 people from Richmondshire have now died after testing positive for the virus since the start of the year.
This includes six people who died in hospital in November.
North Yorkshire County Council chief executive Richard Flinton said: “Although infection rates have been coming down in North Yorkshire they are beginning to rise again, alarmingly so, in some parts of the UK, so we have to remain vigilant and act with safety in mind.”
Mr Flinton said North Yorkshire had seen the first roll-out of the Pfizer/BioNTech vaccine in five locations across the county last week, with six sites coming on stream this week.
“This is great news for all of us across the county, but this is a logistically complex operation to get up and running.
“People need two doses of the Pfizer vaccine, so all the people being vaccinated at the moment will be called back again in three weeks’ time for their second dose. So people must be patient and maintain their vigilance about being Covid-safe in the meantime.
“A big development will come when we manage to get the Oxford vaccine, which is much more useable, can be taken to more places and administered at greater speed and at that point the whole vaccination programme will really accelerate.
“Until then we must do everything we can to keep Covid infection rates down as our scientific experts warn us that another surge will only serve to hamper the vital vaccination programme.
“There is light at the end of the tunnel, but with a difficult few months to come first, we must brace ourselves. We will get through it together. We have achieved so much to support our communities these last few months and we must hang on to that strong performance.”