Despite the chance of bringing in a player in the window, Mourinho was assured that he knew his best side for the opening game of the season against Leicester.
The United boss said: "No".
Asked if he was confident he would get both, ... It is our nature and our way to always want more for your team. Normally you don't get what you want which basically happened throughout my career.
"I agree with him because it must be hard for him to work with a group of players that maybe he is going to have 50 percent of them in the future", the midfielder said.More news: Demi Lovato's friend appeals for end to 'negativity'
Mourinho, who has been on a preseason training camp in the U.S. with his side and has been heavily linked with moves for England global Harry Maguire & Inter Milan winger Ivan Perisic. "They have great players for sure but we'll be ready for them".
United's squad will be strengthened when Paul Pogba, Romelu Lukaku, Ashley Young and Jesse Lingard, among others, return from their post-World Cup holidays but Mourinho is anxious to recruit further and presented Woodward with a list of five names "a few months ago".
Mourinho feels that he will be able to make one more new signing, and has insisted that it would "not be a drama" if the Red Devils fail to secure another.
Jose Mourinho's bad-tempered and miserable demeanour on the pre-season tour of the US is causing increasing disquiet inside the club just over a week away from the start of the Premier League season.More news: Our Favourite Photos of the 'Blood Moon' Eclipse
"The players we have bought one is a goalkeeper cover, one is a 19-year-old kid, so in fact we have one new player which is Fred, so of course our team is not going to be very different".
Mourinho is still without a number of players, who reached the latter stages in Russian Federation, and made clear his preference that they cut their breaks early to aid preparations for the season opener against Leicester on August 10.
"We're not playing here to improve the team or the dynamic, we're playing here to just survive and have some not very ugly results".
"What I don't agree is that the Premier League starts now".More news: Trump Ends Bumpy Week With Renewed Attacks, Threats
The French footballing legend left Real Madrid at the end of last season having guided the La Liga giants to three consecutive Champions League titles.