The victory sees Jabeur, 26, become the first Arab woman to reach the last eight at the All-England Club.
The world number 24 recovered from a set down to prevail 5-7, 6-1, 6-1 against 2020 French Open champion Swiatek.
Jabeur will meet second seed Aryna Sabalenka next after the Belarusian beat Kazakh 18th seed Elena Rybakina.
The Tunisian – whose victory at the Birmingham Classic last month made her the first Arab woman to win a WTA title – followed up her straight-set win over five-time champion Venus Williams with a stunning comeback victory over 2017 champion Garbine Muguruza on Friday to continue her best run at Wimbledon. (BBC)