In a game of few chances Tom Craddock and Danny Graham forced the Leeds keeper to make a couple of fine saves and Matthew Bates had a header cleared off the line.
A more experienced Leeds team hit the woodwork twice in the second half and Boro's on-loan keeper, Ben Smith, made one full-length save.
Boro team:
Smith, Hines, Bates, Cooper, Grounds, Liddle, Cattermole, Kennedy, Owens (Walker), Craddock, Graham