The Williams driver was third in both practice sessions on Friday, and was then second in the rain hit FP3 session on Saturday.
While other teams such as McLaren and Mercedes stepped up their game in qualifying, he was seventh in Q1, fourth in Q2 and then eighth in the final session.
Albon said that unlike some rivals Williams had been in good shape from the off at Silverstone, and that others had found performance.
"It's been an amazing weekend,” he said. “It's almost like you've finished qualifying somehow disappointed, but with a Q3 P8!
“But we have to be realistic. I think we've been on top of it early in the weekend. I think I've also just been in the rhythm very quickly this weekend as well, getting well adapted to the wind changes and all this kind of thing.
“So I felt like we've hit the ground running. And as the weekend's gone along, everyone's kind of caught up, basically.
"And by Q3, I'm sure there's a little bit of sandbagging from other teams as well, but we ended up kind of where we expected to be after Friday, at least.
“But it's still an amazing result, and if you told us this before the weekend started, we were looking at around P15. So it's been a great weekend so far.”
Source: Autosport