Rudiger and Tchouameni are the only two signings this summer.
Carlo Ancelotti has revealed that Real Madrid will not sign another player ahead of the 2022/23 campaign.
Los Blancos have signed just two players so far this summer, as Antonio Rudiger joined on a free transfer and Aurelien Tchouameni arrived from Monaco.
The Italian coach does not believe that Real Madrid need to further strengthen their squad despite the departures of Luka Jovic, Marcelo, Gareth Bale and Isco.
"I can't talk about signings, but I've already said that it's all over," Ancelotti told a press conference.
"We're not going to sign anyone. We're fine as we are."
Ancelotti went on to praise the virtues of both Rudiger and Tchouameni, stressing that the US tour will help them adapt to their new team.
"The signings bring great quality to the squad," added Ancelotti.
"They are, in their positions, the best we could find on the market. Rudiger is a great centre-back and Tchouameni [is great] too. He is very young and has a lot of potential."
"He's already an international with France. We're taking advantage of this tour to help them adapt to the squad we have."
The Real Madrid coach also revealed that he is willing to try out playing Eden Hazard as a false no.9 when Karim Benzema needs some rest.
"We have a lot of options for that position," noted Ancelotti.
" Benzema is first choice but we have to understand that it will be a strange, different season, with the World Cup in between and we have to look at different options."
"My idea is to try to see Eden in that position. Given the quality that Eden has and his qualities, it could be good for us to try him there. It's a similar case to [Marco] Asensio."