Chelsea “needed the win” over Brighton, said boss Frank Lampard after his first home victory as a Premier League manager.
The Blues deservedly won to make it nine wins out of nine league games against Brighton – an all-time Premier League/Football League record.
They led at Stamford Bridge when Jorginho scored a penalty after Adam Webster fouled Mason Mount.
Albion, who have not won in the league since the opening day, briefly rallied and Dan Burn’s header hit the crossbar.
But Willian sealed the victory with a deflected strike from Callum Hudson-Odoi’s pass.
Chelsea move up to sixth in the Premier League while Brighton fall to 16th.
“We haven’t had a 90-minute game where we’ve controlled it enough [before now],” Lampard told BBC Sport. “The only disappointment is we didn’t have more goals. We got a clean sheet as well. It is good for the confidence of everyone.
“We had a lot of shots in the first half, but had weak finishing and a bit of bad luck. You do start to wonder but you have to remain confident it will come and it did.”
The previous record for wins against one team in the league was Wimbledon’s 100% success rate against Bournemouth in eight meetings between 1977 and 1984.