The Spaniards will be overwhelming favourites to reach their third final in five years, but Mourinho, who is the first manager to lead three different clubs (Porto, Chelsea and Inter) to the Champions League semi-finals, remains unfazed.
"They will have the advantage of playing the return at the Nou Camp, but we will know how to treat the two matches," he said.
"It's five consecutive victories in the Champions League now; we are deservedly and comfortably through to the semi-finals.
"We can talk of a total change in Inter's history in the Champions League.
"Whatever happens in the semi-final or the final, Inter will be full of confidence going into next season's Champions League.
"If we don't win it this year, Inter will win it in the next few years."
The Italians have been European champions twice, winning successive titles in 1964 and 1965.
They were denied a third victory in four years when they were beaten 2-1 by Celtic in 1967 and they last reached the final in 1972, losing 2-0 to Ajax.
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