Johanna Konta must overcome five-time champion Venus Williams if she is to become the first British woman to reach a Wimbledon final for 40 years.
Sixth seed Konta, 26, takes on the 37-year-old American in Thursday's second Centre Court match at about 15:00 BST.
It is the first time since Virginia Wade in 1978 that Britain has had a woman in the Wimbledon semi-finals.
Spain's Garbine Muguruza plays Magdalena Rybarikova of Slovakia in the first semi-final at 13:00.
Konta is one win from her first Grand Slam final and two from matching Wade's victory of 1977.