The Red Devils have had multiple bids for Barcelona midfielder Cesc Fabregas turned down and are now considering a move for Everton's Marouane Fellaini as a cheaper and more attainable alternative.
The Scot admits he would have liked to have wrapped up his transfer business at the beginning of the window but says he remains hopeful of completing deals in the coming weeks.
"Ideally, you would get your signings done early. It is better if you can do that. But for different reasons it has not been possible to get them done at this moment in time. But I am confident we will get them done," he told the Daily Mail.
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He continued: "That is not something Manchester United are frightened of. Manchester United are more than happy to compete with all of the teams. There has been a change in the dynamic because of PSG coming on the scene recently. That has altered things. But Manchester United will always compete.
"One thing it has got is the history. It has got the name. It has got the success. Players do want to be connected to that and one day say they have played for Manchester United. That is a big pull for any player."
The former Everton boss also urged fans to consider the club's long-term future rather than judge him on instant results.
"If you win one game folk will think you are good," he added. "If you lose one folk will think you are rubbish. You hope there is a little bit of sense and people understand where you are going. It is a big job.
"It is a new job. It will take time, as it would for anybody else. In a way, we are as much preparing for next year as we are this year at Manchester United. This club is always preparing for the future. We are looking at targets we hope to sign in a year's time, not necessarily just this year."