Chelsea rejected the suggestion Mata or Luiz could be used in the bargaining for Rooney and pointed accusingly at United for suggesting the part exchange, which may have unsettled the duo.
Mourinho insisted it was a cash-only offer and that the futures of Spain playmaker Mata and Brazil defender Luiz are in the blue of Chelsea.
The duo are absent from the tour of Asia to take a break following the Confederations Cup before joining up with Mourinho's Chelsea for the first time at the end of this month, ahead of the tour to the United States.
"I am not going to contact them based on news that is not true and that they know that it is not true, because I told them they are very important for me," Mourinho said.
"How can I change that two days later because of a news (report)? So, no contact with them.
"I spoke with them during the summer, in my period of holiday and their period in the Confederations Cup.
"When they finished the Confederations Cup I just wished them luck and told them that I will see them on the 28th (July 28)."
Mourinho insists he is a man of principle and loyalty is key among them.
"Loyalty, for me, is fundamental, not just in football but also in life," he added.
"What I try to create in the team is that kind of principle in between them.
"They must have the capacity to be critical with each other and when you are critical with a colleague you must have a big sense of loyalty so you can accept the criticisms from the other guy."