A further approach to Everton for Leighton Baines and Marouane Fellaini was rejected yesterday and Athletic Bilbao confirmed they had turned down a bid for their midfielder Ander Herrera.
Moyes said: "We have been after two or three players. Some of them we are still in with a shout on and some we are not. It might be busy in the next few days and I hope we do a little bit of business but I couldn't guarantee it."
United visit Liverpool in the Barclays Premier League tomorrow for a match that will be preceded by a minute's applause to mark the 100th anniversary of the birth of Bill Shankly, which falls on Monday.
There could be new arrivals at Anfield before the deadline with reports suggesting the defenders Mamadou Sakho from Paris Saint-Germain and Sporting Lisbon's Tiago Ilori will be signed.
Liverpool have apologised for a message on their official Twitter account which appeared to mock the Munich air disaster. The club had asked followers to nominate songs to be played before kick-off tomorrow.
Suggestions included some associated with making fun of the 1958 tragedy, to which Liverpool replied: "Have you been sneaking a look at the dressing room iPod?"