Systems and methods are provided for catalytic hydroprocessing to form lubricant base oils. The methods can include performing high pressure hydrofinishing after fractionating the hydrotreated and/or hydrocracked and/or dewaxed effluent. Performing hydrofinishing after fractionation can allow the high hydrogen pressure for hydrofinishing to be used on one or more lubricant base oil fractions that are desirable for high pressure hydrofinishing. This can allow for improved aromatic saturation of a lubricant base oil product while reducing or minimizing the hydrogen consumption. The high pressure hydrofinishing can be performed at a hydrogen partial pressure of at least about 2500 psig (˜17.2 Mpa), or at least about 2600 psig (˜18.0 Mpa), or at least about 3000 psig (˜20.6 MPa). The high pressure hydrofinishing can allow for formation of a lubricant base oil product with a reduced or minimized aromatics content, a reduced or minimized 3-ring aromatics content, or a combination thereof.