Both were expected to be among the departures from Elland Road, but potential moves have broken down and the pair are now preparing for the new campaign with Leeds.
Duberry's move to Wolves has collapsed after the two clubs failed to agree on a deal that would have seen Leeds contributing to his wages. The centre half is already back at Thorp Arch training ahead of the return of his team-mates on Thursday.
Harte was also on the verge of leaving when he met officials from Spanish outfit Villarreal last weekend. The Republic of Ireland international has decided to stay on and fight for his place.
Leeds have already signed left-back Danny Pugh from Manchester United and Harte will have strong competition for a starting place.
Fellow Irish international Stephen McPhail is expected to go, however, and he will have talks with Barnsley. Leeds have agreed a deal for the midfielder and the player's agent is thought to have provisionally accepted an offer on McPhail's behalf, with him currently on honeymoon.