Fernando Torres put the west Londoners on course for victory early in a dominant first-half display, only for missed chances to allow Aurélien Chedjou to equalise for Galatasaray in an improved second half.
Chelsea were undone by Aurélien Chedjou's second-half equaliser
It is not the first time this season that Chelsea have paid for failing to kill off teams and Mourinho knows that pattern needs to change.
"That's our team," the Portuguese said. "Some other teams have three chances and score three goals. We have five and score one.
"This is not a criticism of the strikers, like sometimes people think. It's just in this moment the profile of the team we have.
"We create but we arrive in the last third of the pitch and the last decision, the last choice, the correct pass, the right movement is something that is not right at the moment. We are not a team who kills opponents.
"We are paying for that in the Premier League, losing points, and in the Champions League we might have got a different result. But they all give everything.
Galatasaray 1-1 Chelsea
"Every one of them on the pitch fight for each other, work for each other, have tactical discipline. I cannot be critical.
"They got a very acceptable result in a stadium where it's difficult to play and difficult to win. I think they did a good job.
"We were unfortunate in the first half because we should have scored more goals, and unfortunate in the second half too because we should not concede a goal at a corner. But the result is fair."