He beat Dutchman Botic van de Zandschulp in straight sets on Centre Court last night.
There was also a straightforward victory for 2019 champion Simona Halep - but Nick Kygrios had to battle a shoulder injury to get past Brandon Nakashima in five-sets.
The last British player remaining in the singles - Cam Norrie - will face Belgium's David Goffin in the last-eight.
Defending men's champion Novak Djokovic opens play on Centre this lunchtime against Italy's Jannik Sinner.
One of the favourites for the women's title - Ons Jabeur - takes on Marie Bouzkova - while there's an all-German clash between Tatjana Maria and Jule Niemeier.