Moyes has been credited with an interest in unsettled Monaco striker Radamel Falcao, while Atletico Madrid ace Diego Costa has also been mentioned as possible target.
However, Moyes insists there is no need to bring in a new forward as he is happy with his current strikeforce, feeling Robin van Persie, Wayne Rooney, Javier Hernandez, Danny Welbeck and Shinji Kagawa offer more than enough up front.
"I would not say we are in desperate need of an out-and-out centre-forward," said Moyes. "We have got Robin van Persie, Wayne Rooney, Chicharito (Hernandez), Danny Welbeck. Shinji can play in behind as well, we are covered.
"It is easy for people to throw names up, but when they look at it more closely you might say it wasn't that good a suggestion."
Moyes has confirmed he will look to add to his squad in the New Year, but accepts it may be difficult to land his top targets in January.
"We will look [at targets]," Moyes added. "But I wouldn't turn around and say that I'm massively sure that we will get them.
"Because a lot of the players we would be interested in wouldn't be available for us in that month of January.
"But we'll certainly be looking."