Mourinho was handed the suspended ban and fined Â£50,000 on Wednesday evening after accepting a misconduct charge from the Football Association
The Portuguese was unhappy at the decision not to award a penalty when, with the score at 1-1, forward Radamel Falcao was upended by Saints goalkeeper Maarten Stekelenburg, and he criticised referee Robert Madley in post-match media comments
The FA confirmed on Wednesday evening the Blues boss had accepted he had breached the regulations
"Jose Mourinho has been given a suspended one-match stadium ban and fined Â£50,000 after he admitted a breach of FA rules in relation to post-match media comments," a statement from the governing body read
"The Chelsea manager was charged for misconduct following the game against Southampton on Saturday 3 October 2015.
"It was alleged his remarks constituted improper conduct in that they alleged and/or implied bias on the part of a match official or match officials and/or brought the game into disrepute.
"Mr Mourinho's suspended stadium ban will be immediately invoked should he be found by an independent regulatory commission to have committed a further breach of FA rule E3 for any comment or statement to or through the media before 13 October 2016."
Following the defeat against the Saints, Mourinho gave a seven-minute flash television interview during which he lamented the calls from officials which went against his side.
"I think it's time to be a little bit honest and to say clearly the referees are afraid to give decisions for Chelsea," he said
"The result was 1-1 when it was a huge penalty, and, once more, we didn't get one
And the penalty was a crucial moment in the game with the result 1-1
"And, I repeat, if the FA wants to punish me, they can punish me
They don't punish other managers, they punish me, but it's not a problem for me.
"I want to repeat because I think my players deserve it, Chelsea fans deserve it, I am a Chelsea fan too, and I want to say it again: referees are afraid to give decisions to Chelsea."
Chelsea have struggled for consistency this season, with the defending Premier League champions 16th in the table, already some 10 points behind leaders Manchester City ahead of this weekend's home clash with Aston Villa.
Mourinho said he would only quit if he lost the backing of the players, with club captain John Terry stating the dressing room remained firmly behind the manager, while ahead of the international break, Chelsea subsequently took the unusual step of reiterating their backing in a statement on the official club website which read: ''The club wants to make it clear that Jose continues to have our full support."
Source : PA