Reports have suggested that the Blues might look to trim their squad during the current transfer window, with Ivanovic, Juan Mata and David Luiz among those said to be attracting interest from afar.
Mourinho, though, says the club remain on a sound financial footing and have no intention of sanctioning the sale of senior professionals who have a big part to play heading forward.
On the Ivanovic rumours, the Portuguese told Sky Sports News: "They didn't contact Chelsea. If there was any interest, it was not official.
"As a manager, a board, we have the responsibility of running the club, and the owner, and we are very, very clear that there is no chance that Ivanovic will leave Chelsea."
Asked if any departures are required, he added: "No. The club is solid. The club is very well organised, the numbers are correct.
"We as a club want to follow the Financial Fair Play rules, but we are in a very stable situation.
"I like the squad, I like the profile. I like the fact we have a very young squad with three or four experienced players that are still in a fantastic moment of their career."
While Mourinho is not expecting to move players on, he also claims to be happy with the attacking talent at his disposal and feels no need to bolster a strike force which includes the likes of Fernando Torres, Demba Ba and Romelu Lukaku.
He said: "We have strikers. The market is open and anything can happen, but it depends on the opportunities and it depends if the market really starts, because at the moment the market is very stopped.
"We are okay, we are very much okay. If the transfer window closed tomorrow and we do nothing, I am more than happy."