The win, the 64th unbraten match in a row in the League at home was a record for the Blues and must have made Roman Abramovich a very happy man.
True, Chelsea let in two goals but they scored three and could have had many more.
"It was too entertaining," quiped Jose afterwards.
"I think we played well and so did Birmingham.
"They could have scored 3 or 4, we could have scored 5 or 6.
"I never believed we would lose.
"It was a good way to celebrate our record and I want to go home and remember all the players who have helped us achieve this.
Jose then went on to mention the value of Shaun Wright-Phillips who: "had a few question marks over him in his first year. It was not easy for hin, " added Jose.
"In his second year he showed his tactical play and demonstrated lots of ambition.
"I'm pleased for Shaun. the dressing room love him because he is always the same."
Asked if he was going to keep the side against Reading on Wednesday, Jose said: "Differenet games gives different choices. Players need to play. I don't need to rotate at the moment.
"Talking again of the record, Jose waxed: "The record means more for Chelsea than to me.
"It belonged to a great Liverpool side and now it's ours.
"Chelsea will go down in the history books and I'm proud to be a part of it.
"I hope to make it a 00 gane unbeaten at home for me against Portsmouth.
"But no one is unbeatable.
"The important thing is once we lose we have to win the next game and go again."