"I think now it's a moment we have to think about the team to try to improve our table, improve our performances and finish the season as strongly as possible". It looked as though they would have to wave goodbye to the chance of playing in the Champions League next season but today's comeback gave them fresh hope.
Conte is widely expected to leave Stamford Bridge at the end of the season after presiding over a tumultuous campaign, both on and off the field.
Antonio Conte's side scored three goals in a whirlwind eight minutes to send Southampton into further relegation trouble.
"I'm very happy for him [Giroud]", said Conte in his post-match press conference. The French super sub brought one back for the Blues just nine minutes after coming on. The comeback was complete with Giroud's second of the day. Olivier Giroud changed the match for the better and showed Blues fans he should be a regular starter.
But how did Conte's players perform on the South Coast? Chelsea needed different players to step up.
Southampton stayed in the relegation zone with five games left, and manager Mark Hughes was aggrieved that Alonso avoided punishment for a studs-up challenge on Shane Long in the first half. Southampton is now in serious trouble of going down to the Championship and needs other results to help them out of 18th place.
Giroud told Sky Sports: "I said when I came in, I said to Eden: 'Come on, we need to fight until the end". They don't have to play for the coach.