Latest figures show Bury is one of just 12 places in England where coronavirus infection rates have gone up.
Rates are continuing to fall in nine of Greater Manchester’s 10 boroughs.
But in Bury, figures published by Public Health England on Monday showed infection rates to be up slightly.
It comes as Prime Minister Boris Johnson said first doses of vaccines have been administered to the 15 million most vulnerable people, but at a press conference refused to rule out the current lockdown being the country’s last.
In the week to February 11, significant falls in infection rates were recorded in Trafford, Manchester, Wigan and Salford.
The current national average is 148 cases per 100,000 people.
The table – below – has the total number of positive tests (in the last seven days) in each area and the difference compared with the previous week.
Rates in Bolton edged down again, but Bury saw a slight rise.
The figures show Bury is one of only 12 areas in England – out of 315 – where the rate has gone up.
Trafford is the only Greater Manchester borough where the infection rate currently stands below the national average.
Trafford’s figure of 134 cases per 100,000 people represents a fall of 31 per cent compared to the week before, equating to 143 less positive cases.
There were more than 400 less cases in Manchester, 200 less in Wigan, more than 160 less in Salford and almost 150 less in Stockport.
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Bury’s infection rate for the week ending February 11 – the latest figures available – was 206 cases per 100,000 people, an increase of two per cent.
Nationally, the figures show rates have gone down in 303 out of the 315 local authorities in England.
Cases fell by three per cent in Bolton.
The town, however, despite the latest fall continues to have the highest infection rate in Greater Manchester – at 269 cases per 100,000 people.
Bolton is followed by Salford, Bury, Tameside, Rochdale, Manchester, Stockport, Oldham, Wigan and Trafford.
Nationally, the figures show the fastest falling infection rate was in West Devon, where there were 11 cases recorded – a 70 per cent drop compared to the previous week.
Places where the weekly total of cases has gone up
Rates have gone up in 12 areas for the week ending February 11.
They are: Newark and Sherwood (68 more cases); Calderdale (44); Copeland (42); Exeter (42); Lincoln (31); West Lindsey (22); East Devon (19); Kingston upon Hull (13); Bury (7);Harborough (5); Hambleton (2) and the Mole Valley (1).
Corby in Northamptonshire is now the area with the highest infection rate – at 346.2 cases per 100,000 of its population.
On Monday, the NHS confirmed a further 231 people who tested positive for coronavirus have died in hospital in England, bringing the total number of confirmed deaths reported in hospitals to 79,120.
The figures included another five people have sadly died in Greater Manchester’s hospitals.
The region’s hospital death toll is now 5,350, the NHS England statistics showed, although the daily figure has fallen by 27 per cent in seven days.
The number of Covid-19 patients in hospital in England stood at 17,730 as of 8am on Monday, a week-on-week drop of 23 per cent.
That includes a 19 per cent drop in patients numbers across the north-west of England.