The new incarnation of Top Gear has experienced a rough ride under Evans' stewardship, despite its opening episode recording a solid audience of 6.4 million viewers, including catch-up viewing.
Audience appreciation figures leaked to The Telegraph showed Evans' debut episode was rated by viewers as the worst quality show on terrestrial television on the weekend that it aired, with an appreciation index (AI) score of just 60 out of 100, compared to an average of around 82 for a BBC Two programme.
The second episode is understood to have received a similarly low AI score, of 68, and recorded a live audience of 2.8 million, which yesterday had improved to 4.1 million, including catch-up viewing.
Most impartial observers agree that the programme has improved over the opening weeks, with Evans limiting his hyperactive enthusiasm.
The audience for Sunday's third episode will rise from 2.37 million once catch-up viewing is taken into account, but Top Gear recorded lower overnight figures on only one occasion during the Clarkson era. A June 2003 episode was watched live by 2.36 million viewers, just 9000 fewer than this week's show.
Sunday night's episode suffered from going out at the same time as Germany's opening game in Euro 2016, which aired on BBC One.
Figures from overnights.tv, the ratings agency, showed the motoring programme lost 175,000 viewers between the ages of 25 and 34, compared to the previous week.
ITV also aired Coronation Street in an overlapping slot, which led to Top Gear losing more than a quarter of a million viewers over 55.
BBC executives are resigned to the fact that the audience is unlikely to improve over the three remaining episodes in the series.
The programme will go up against Euro 2016 football each week, which eats into Top Gear's young male audience.
If England finish third in their group and win their second round game, they could play in the quarter-finals at the same time as the season's final episode.
• Top Gear screens on Sundays at 7.30pm on Prime.