Thus far, only young Uruguayan full-back Guillermo Valera has arrived at Old Trafford this summer and it remains to be seen whether he will be involved in the first team.
United have failed with bids for Thiago Alcantara, Cesc Fabregas and Leighton Baines this summer, but Moyes refuses to be dejected about so far hitting a brick wall in terms of transfers.
"I do think we'll be bringing players in before the window shuts. They will come," he said after seeing Manchester United draw 1-1 with AIK Stockholm.
"We're moving along but if you said, 'Is anything close?', I couldn't give you an answer.
"I'm relaxed, we've got a squad here and it's the same group of players that won the Premier League last year. You can never tell until the season starts but we are looking forward to it."
Quizzed again about Fabregas, he said: "I can't really say anything about that. We will sign some players before the end of the window.
"And these are the champions of England. They are a good squad and I look forward to going in to the new season with them."
