One of Moyes' key targets will be Porto defender Eliaquim Mangala, who has been attracting interest from Manchester City as well.
Manchester United will lose their captain Nemanja Vidic at the end of the season after he agreed a two-year deal with Inter Milan and Moyes is looking for a long-term replacement.
Mangala will not come cheap, however, as the Frenchman currently has a £42m release clause in his Porto contract. However, the Portuguese may let him go for as much as £20m.
With the 23-year-old set to play a key role for France in the World Cup, Moyes would be wise to buy him before the tournament as a few good performances could see his valuation rocket.