The new coach faces home white-ball series against West Indies and India this summer before a 50-over World Cup in India in the autumn.
Whoever does take charge will be looking to end a trophy drought that stretches back eight years to the 2017 World Cup triumph.
Lewis, previously a fast-bowling coach with the England men’s team, took over from Australian Lisa Keightley more than three years ago.
The high point of his reign was a drawn Ashes series against the all-conquering Australians in 2023, but in three T20 tournaments – two World Cups and the Commonwealth Games – England failed to reach a final.
Following the elimination from last year’s T20 World Cup, former England spinner Alex Hartley, who was part of the World Cup-winning side, said some members of the squad were not fit enough.
On the Ashes tour, England spinner Sophie Ecclestone declined to be interviewed by Hartley in her role as a television broadcaster.
When asked if fitness was a reason for the gulf between his side and Australia, Lewis pointed to a “cultural difference” between the two nations.
Connor then pledged an “honest review” into the series and called the Ecclestone incident “unfortunate”.
Connor has paid tribute to Lewis’ record in one-day international series but accepted results the T20 World Cup and Ashes had been poor.
“Under his leadership the team held off Australia to draw a thrilling 2023 Women’s Ashes – attracting record crowds with an entertaining brand of cricket – while the team’s consistent success in bilateral cricket included a remarkable eight consecutive ODI series wins for which he should take real credit,” she said.
“While the recent T20 World Cup and Women’s Ashes in Australia have been disappointing, there is no doubt about the talent we have available and we will look to appoint a successor shortly.
“We must be ready for an exciting summer of international cricket and to challenge for two World Cups over the next 15 months, including the T20 World Cup in this country next year.”