Mourinho was not in a good mood after his undermanned United side was beaten 4-1 by Premier League rival Liverpool at the International Champions Cup on Saturday, claiming he would not pay to watch the Red Devils at this point in its campaign, goal.com reported.
United has already added Fred, Diogo Dalot and Lee Grant to its squad this summer but Mourinho is keen for more reinforcements as he looks to bridge the gap to 2017-18 champion Manchester City.
"I would like to have two more players. I think I am not going to get two," Mourinho told reporters.
"I think that it's possible I will have one. And that one, I gave a list to my club of five names a few months ago. And I wait to see if it's possible to have one of these players.
"If it's possible. it's possible, if it's not it's not. If it's possible, it's good, if not then we keep fighting and working and believing in the players that we have."
United was put to the sword in the second half by a superior Liverpool side, which netted three unanswered goals courtesy of Daniel Sturridge, Oluwaseyi Ojo and Xherdan Shaqiri after Andreas Pereira's stunning free-kick had cancelled out Sadio Mane's opener.
The Red Devils have been without a host of their stars following the World Cup, with the likes of Paul Pogba, Romelu Lukaku, David de Gea, Nemanja Matic – who will miss the start of the season due to injury – Jesse Lingard and Marcus Rashford enjoying holidays.
"This is nothing to do with reinforcements," Mourinho said. The reinforcements are Pogba, [Marouane] Fellaini, [Victor] Lindelof, Rashford, Lingard, Matic, [Antonio] Valencia. These are reinforcements.
"This is not our team this is not our squad. We started the game with almost half of the players who are not even going to belong to our squad on August 9. They will not be here.
"This is not our squad. Reinforcements, you mean players that I would like to buy, to add to the squad. That's another thing, but this is not my squad, this is not even half my squad, or 30 percent of it. So don't look to this.
"You can ask me if I still want new players, that's another question. But in relation to today, we have four or five players who are dead because they care with the club and try to give everything, even risking themselves, because they don't want to let all the kids play by themselves against AC Milan, against Liverpool."