More than half of the deaths are thought to have been in people over the age of 85.
The author is Adam Vaughan.
In the first analysis of the human toll of record-breaking temperatures, a thousand more people are thought to have died.
There were at least 10 people who drowned in the heat, but a number of deaths are linked to the weather.
According to the London School of Hygiene & Tropical Medicine, 948 people died in England and Wales because of the hot weather in July. Roughly 2% of the nation's population is compromised by the fact that more than half of the people are aged 85 or older.
The two hottest days of the year are 18 and 19 July. 791 heat-linked deaths would be expected in England and Wales. You would expect it to be higher in the entire year, but it is. It is severe.
Modelling how many deaths would be expected in different parts of the country depends on how hot it gets. The official process usually takes more time than the near-real-time approach.
He arrived at his findings, which are being considered for publication in a scientific journal, by extrapolation from his earlier research. The risk from heat for different age groups was calculated by that study.
In the worst case, the central estimate of excess deaths in just three days is 948. The University of Reading says it looks like it is in line with expectations.
Preliminary figures for excess deaths during the heat wave are expected next week.
There are more on this topic.