Separate figures released by UK statistical agencies for deaths for which Covid-19 was mentioned on the death certificate, as well as additional data on deaths in recent days, show that there have now been 68,000 deaths involving Covid-19 in the UK.
An additional 20,051 new cases were also reported on Tuesday, bringing the total number of cases in the UK to 1,410,732.
It comes after Robert Jenrick said on Tuesday that ministers wanted to see a “significant easing” of coronavirus controls when the lockdown in England is lifted on December 2, but suggested that tighter controls may be needed at the top level 3.
Matt Hancock has not been able to rule out an extension of the lockdown, as a health chief told a Downing Street press conference that the tiered system in which ministers wanted England comeback may need to be strengthened.
Ms Sturgeon told MSPs on Tuesday that the changes were supposed to have an impact before Christmas.
The country has recorded 37 deaths from the coronavirus and 1,248 positive cases in the past 24 hours.
Public Health Wales has reported 34 more deaths, bringing the total in Wales since the start of the pandemic to 2,243.
Infections rose by 705 on Tuesday, bringing the total number of confirmed cases in Wales to 67,811.
The Northern Ireland Department of Health said nine other people with Covid-19 have died. The death toll recorded by the department now stands at 878.
There were also 549 other confirmed cases of the virus recorded in the last 24-hour reporting period.
A total of 47,711 people have tested positive for Covid-19 in Northern Ireland since the start of the pandemic.