The Scot bolstered his options in the summer with the acquisition of Uruguayan right-back Guillermo Varela, who is yet to make a first-team appearance, and Marouane Fellaini, who arrived at Old Trafford from Everton in a £27.5 million deal.
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"I'll look at January but I wouldn't want people to have big expectations about what you would sign or do in January because I don't think January has, in the main, been a really good month to sign, really, at the top," the Scot told reporters.
"If you're in trouble near the bottom of the league you might if you're desperate for something but I think, where we'll be with Manchester United, we'll be looking for the top.
"I've got really, really top-end players, great players to work with but undoubtedly we will in time try to make that better, that's the part of the job. The job is to progress, to make progress at Man United. We'll look to add to the squad if the right players become available."