The defending Premier League champions are in the hunt for more silverware under Antonio Conte.
The title holders were 2-1 extra-time winners against Leicester City at the King Power Stadium on Sunday.
Goals from Alvaro Morata and Pedro Rodriguez helped to secure their place in the FA Cup last four.
Southampton eased past Wigan Athletic in a 2-0 win in their first game under interim manager Mark Hughes.
Former Chelsea FC striker Sutton believes the Blues will be delighted with their last-four draw against the Saints.
“It’s a great draw for Chelsea,” Sutton told BBC Radio 5 Live. “Southampton have been in poor form.
“What you have to chuck into the equation is Mark Hughes and the response.”
Chelsea FC lost 2-1 to Arsenal in the FA Cup final at Wembley last season to miss out on a double triumph under Conte.
The west London outfit signed England international Ross Barkley, AS Roma defender Emerson Palmieri and Arsenal striker Olivier Giroud in the January transfer window.
The Blues won the Premier League title with two games to spare last term under Conte to lift the top-flight crown for the second time in three campaigns.
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