Mourinho has long made clear his desire to strengthen Madrid's forward line, and Adebayor arrived on loan from Manchester City in January to bolster his options after a long-term injury to Higuain heavily restricted his options.
Nonetheless, there have been numerous reports that Higuain and Benzema could be on their way out of the Bernabeu, with Arsene Wenger recently saying of the latter: "Signing him does not seem impossible. He's a player that I like." Higuain's father, meanwhile, said this week that his son wanted to remain in Madrid but confirmed that "a lot of clubs in Europe like him".
In an interview with Cadena SER on Thursday night, though, Mourinho confirmed the duo were "non-transferable".
Asked whether he would refuse to let them leave, he said: "It is not a case of me refusing to sell them. I don't make those decisions. If the club want to do something, I'm nobody. We all agree on Higuain and Benzema: we want to keep them."
There had been suggestions that Mourinho would be taking control of transfer policy at the club following the departure of general director Jorge Valdano, but he emphasised that that is not the case.
"I have no more power than I had before,'' he added. ''Madrid are looking for a new model within the organisation. Having a good structure [at the club] is not a guarantee of success, but a bad structure that is not suited to the modern game - that is a guarantee of failure. We must modernise and aim for perfection.
''I will still only be a coach and nothing more. With Valdano, there was nothing personal. I wish him all the best."
Mourinho, though, is likely to have a significant influence on who arrives at the club this summer and was asked about several players. On Adebayor - who had appeared likely to return to Eastlands - Mourinho suggested Madrid were keen to complete a deal.
"He is a City player and there is a clause to buy him,'' he said. ''We are in a good bargaining position and the player wants to stay here. That's important."
Atletico Madrid forward Sergio Aguero has also been strongly linked with a move to the Bernabeu, and his remarks on Thursday that he would prefer to remain in Spain have been interpreted as a sign that he could make the controversial move.
"I will not be a hypocrite," Mourinho said. "Kun is a fantastic player - I won't be afraid to say it - but he's an Atletico player. Madrid will not contact players before making an agreement with their club."
On Benfica's Fabio Coentrao, who has spoken of his determination to move to Madrid, he added: "He's a great player. I like him for his versatility, his ability to play all over. Players of his type are always welcome, especially at a club as demanding as Madrid."
Meanwhile, Mourinho attempted to play down his bitter rift with Barcelona, where he worked under Bobby Robson in the late 1990s.
"I was there between 1997 and 2000," he said. "From 2000 to 2011, everything changed - both the people and the institution. It's a different club now. I've never said I didn't enjoy working there. I have nothing against the club.
"I knew Guardiola as a player, but it's been ten years. Now he is the leader of the team, I don't know him. I knew a different Guardiola; he knew a different me."
Mourinho reiterated that he was unhappy with the manner in which Barca won the Champions League semi-final but accepted that their victory over Manchester United in the final was "well-deserved".
Asked about Guardiola's description of him as 'the f**king chief' in a press conference ahead of their Champions League meeting, Mourinho said: "It is nothing special. He can say what he wants."
Mourinho had appeared to hold doubts over his future during the season amid his feud with Valdano, and has said on numerous occasions in the past that he favours the Premier League.
However, he has stressed that he wants to stay on next season and denied he had considered leaving.
"The president is a proud leader who knows that your heart and soul must be in Madrid to be here and that 99.9% of professionals want to be here. If I told him I was considering my future, he would say: 'Pack your bags and go'."
Asked which league he prefers, he said: "The leagues are different. I am now in Spain and Madrid only won 90 points and that was not enough to win the title. That is strange at this level.
"There is passion everywhere you go and that's important. I'm very happy, so I will stay on next season. If the president, the board, the players and the fans are happy, I will [be at the club in two years' time]."