The 25-year-old Spaniard is set to travel to London to undergo his medical with the Blues.
Chelsea are signing Sanchez to provide competition for No.1 goalkeeper Kepa Arrizabalaga, following the departure of Edouard Mendy to Saudi Arabia earlier in the summer window.
Sanchez made 23 Premier League appearances for Brighton last season before losing his starting spot to Jason Steele in March – with manager Roberto De Zerbi deciding Steele was better suited to playing it out from the back.
Sanchez did not travel with the rest of the Seagulls squad for their pre-season tour of the United States of America, and is now set to seal a move away from the south coast to join Chelsea.
The Spaniard will be reunited with former Brighton goalkeeper coach Ben Roberts at Stamford Bridge, with Sanchez hailing Roberts in the past for helping to improve his ‘mental fortitude’.
Sanchez also counts as a homegrown player, having been at Brighton since the age of 15.
He was born in Spain but was courted by England in the past, before ultimately being called up to the Spanish national team and earning two caps.