One borough, Camden, has already seen its seven-day coronavirus rate fall below 100 per 100,000, one of the thresholds previously used for being in Tier 1.
Richmond, Lewisham and Wandsworth are also heading towards this 100/100,000 Covid-19 rate.
Twenty-two boroughs saw a fall in the number of confirmed cases in the week to November 20, according to the official figures.
Seven more had a rise of less than eight per cent and could easily see falls in coming days.
London’s seven-day rate has now fallen from what appears increasingly likely to have been a second wave peak of 199.6 around November 15 to 181.8 on November 20.
The figures came as the Cabinet was meeting this morning to discuss what tier each part of England should go into after lockdown ends on December 2.
Reports suggested London and Liverpool were likely to go into Tier 2 but that Manchester and more parts of the North West and North East may be in Tier 3.
In Wandsworth, there were 414 cases in the week to November 20, down 209 (33.5 per cent) on the previous week and with a seven-day rate per 100,000 of 125.6.
Camden saw 262 cases, down 103 (28.2 per cent) with a rate of 97, Westminster 310 cases, down 116 (27.2 per cent) with a rate of 118.6, Islington 322 cases, down 105 (24.6 per cent) with a rate of 132.8, Hammersmith & Fulham 304, down 97 (24.2 per cent) with a rate of 164.2, Richmond 217, down 64 (22.8 per cent) with a rate of 109.6, Hillingdon 605, down 146 (19.4 per cent) with a rate of 197.2, Kingston 282, down 63 (18.3 per cent) with a rate of 158.9, Ealing 738, down 152 (17.1 per cent) with a rate of 215.9 and Barnet 653, down 114 (14.9 per cent) with a rate of 165.
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