The Manchester United boss has recruited Romelu Lukaku and Victor Lindelof so far.
Chelsea’s Nemanja Matic and Ivan Perisic of Inter Milan have been heavily linked with a move to Old Trafford in the coming weeks.
Real Madrid’s Alvaro Morata was also said to be on his way but that move looks to be dead in the water after Lukaku’s arrival.
But with Matic edging closer to the Theatre of Dreams, Mourinho was being coy on the specifics.
He said: “I can’t say any word about a player who is a Chelsea player, it’s the same with Morata, we have to respect the player, the club, the owner, the manager.
“I don’t want to be disrespectful, we don’t have our door closed, we are not happy with just Lukaku and Lindelof, we need more.
“We wanted four, so I would say 50 per cent of the job is done but I don’t want to say that because everything is so difficult.
“I would not like to be in Ed Woodward’s position negotiating because everything is really difficult, so maybe we don’t get two, we get one but we need one more to give us more options.
“We have players that belong to the squad but cannot play for next few months, [Marcos] Rojo, Ashley Young, Luke Shaw, if Zlatan stays.
“We need two more players I would say, at least one but I don’t want to say Matic or any other name because I don’t think it’s correct.”
