Having claimed a Copa del Rey title in his first season at the Santiago Bernabeu, Carvalho says Jose Mourinho is ready to lead his current side to greater things in the coming campaign.
"He always wants to improve, from the first day and every day," the former Chelsea defender told reporters on Madrid's pre-season tour in Los Angeles.
Meanwhile, Carvalho hopes Kaka can find his best form next term following two disappointing and injury-ravaged campaigns at the Bernabeu.
"We know he had a difficult season because of his injury," the defender said.
"He is coming back, he is looking good, we all know his quality and I hope he can reach his best to help us (next season)."