The hearing for Douglas Garland, who is 55, is to determine if there is enough evidence to proceed to trial.
It was scheduled for two weeks but is now expected to wrap up Wednesday.
Garland is facing two counts of first-degree and one of second-degree murder.
The charges relate to the disappearance of Alvin and Kathy Liknes (LIK'-ness) and five-year-old Nathan O'Brien last June.
Their bodies have not been recovered.