The Reds boss wouldn't make any guarantees on Friday when he spoke to journalists at the Aon Training Complex but said he's certainly not given up hope on bringing in new players.
"I don't know how busy it's going to be but it's a busy football market," he said. "It might be busy in the next few days and I hope we do a little bit of business but I couldn't guarantee that."
Meanwhile, Moyes again found himself facing questions on Wayne Rooney's future. Manchester United have insisted since the start of the summer that the striker is not for sale, but speculation continues to link him with a move away from the club.
"We told you and everybody else from day one [our stance], so I don't think there's anything else to add today."
In a separate interview with PA Sport, the boss did elaborate a little more on the hunt for fresh blood ahead of the deadline.
"It was going to be a struggle because I was coming into the job and getting to know the players," he affirmed. "There was a new chief executive at the club as well. It was always going to take it a little bit of time to settle down.
"But we have been in and around the players we wanted to sign. We have been after two or three players. We have tried to go for them. Some of them we are still in with a shout with and some we are not."