The loss means Chelsea can no longer reach the 90-point mark, but Remy wants the Blues to finish on a high against Sunderland on Sunday before the trophy is presented and the west London victory parade the following day.
"Now we have one game coming at home, the last game of the season, and we really want to win it in front of our supporters. It will be a special game because we are already champions, but we have to be focused and stay professional until the end. We want to finish the season in the best way we can. The best reaction we can have is to give everybody a win and finish on a great note."
Brown against loan move
Izzy Brown, who joined Chelsea's academy from West Brom, made his first-team debut against his former club and wants further opportunities next term. Mourinho has said Ruben Loftus-Cheek will be retained next season, but his contemporaries will likely go out on loan. Brown wishes to stay as part of Mourinho's squad.
The 18-year-old told the London Evening Standard: "It is a hard balance, but if you're training with the best players in the world and learning from the best manager in the world, what more can you ask for? That's maybe more development for me than going to play in the Championship.
"What happens next season all depends how pre-season goes. We will have a sit down and talk about it and see where my future is. But long-term, it is definitely at Chelsea."
Brown came on with Chelsea already trailing 3-0 and was jeered by Baggies fans.
"Some people don't understand, but ever since I was a kid I have been a Chelsea fan," he said. "My dream was always to play for Chelsea so when the chance came, I couldn't say no. It had nothing to do with the money. I love Chelsea and I love playing for the club I supported."
Not since John Terry's emergence almost 17 years ago have Chelsea produced a homegrown player to feature prominently in the first XI, but Brown is part of an exciting young group.
"There are so many great young players at Chelsea now," said Brown. "It's frightening. Winning the UEFA Youth League and FA Youth Cup this season proves we are the best team in England. There are so many good players, it's just about making that step."
Berahino reached the 20-goal mark for the season with his strikes, the first from 25 yards ending a nine-game goal drought.
The forward told expressandstar.com: "It still doesn't beat my Southampton goal. I'm just happy to get two goals and contribute. It was a while for me since I scored my last goal. I was happy. I'm happy I've got 20 goals. I just look forward to finishing strong."
The England U-21 striker's second came from the penalty spot after he was fouled by Chelsea captain John Terry.
Berahino said: "I'm surprised I had that much power, after John Terry took me out, to give us that two-goal lead. I look forward to Arsenal now [on Sunday]. We're going to take this momentum into the Arsenal game and try to get a result there."