Mourinho's side are currently ten points clear of rivals Barcelona at the top of La Liga and face CSKA Moscow in the second leg of their Champions League last 16 clash on Wednesday.
The Portuguese coach was rumoured to be unsettled at the club after reports in the Spanish press claimed he was at loggerheads with certain players in his squad and with members of Real's hierarchy.
After Andre Villas-Boas was sacked by Chelsea, and Mourinho was seen house hunting in London last month, media reports claimed he was being lined up for a return to Stamford Bridge, where he won two Premier League titles.
But Ronaldo is confident that his coach is going nowhere. "Mourinho will stay with Real Madrid next season," he told reporters. "But it is the club that is the most important thing and not Mourinho, or me."
Real's 3-2 victory over Betis at the weekend, in which Ronaldo scored twice to take his La Liga tally to 32, was Mourinho's 100th game in charge at the Bernabeu. The club have won 21 of the last 22 matches.
With 12 games of the league season to go Real are all but certain to clinch their first league title in four years but Ronaldo, who is yet to win La Liga with the club, says he and his team-mates are still learning.
He said: "The club is always growing season after season. At Real Madrid I have continually improved in order to compete with my team-mates.
"It is important for me to be always learning and I want to continue to do my best, which is why I am very happy."