After ruling out a move for Carvalho’s team-mate Ashley Cole earlier on Sunday, Mourinho has moved to quash rumours suggesting the club were considering signing the pair.
The ex-Chelsea boss cited Gerrard’s importance to Liverpool as a stumbling block, whilst also suggesting Real will look into signing younger players.
“He is part of the history of Liverpool, he belongs to the club," Mourinho told reporters in Los Angeles.
"He is too important to them. The same thing happened when I tried to take Frank Lampard to Inter Milan. The problem exists when a club buys a player who is 30 and cannot be sold later on."
Mourinho’s apparent preference for younger players was also evident in his assessment of Carvalho.
"Ricardo is a good player, but he is of that age where if someone is looking to build a team for the future, he cannot think of him," he said.
"Ricardo is a man for the current moment, he is a man with a great professional and private life so he has no problem playing at a high level at the age of 32.”
Real will now return to Spain following a 3-2 win over LA Galaxy in their final game of their tour of America.