Lincoln Memorial led by 21 points at the end of the first half, but the Wolves made things interesting in the second half by connecting on 22 of their 35 shot attempts (62.9 percent) and going 11-for-15 from three-point range.
The four-point decision extended Union's win streak to 11 games as it improved to 24-4 overall and 15-1 in conference play.
Only four different Cavs scored as UVa-Wise was outscored 38-0 off the bench by the host Hilltoppers.
LMU shot 39.7% (29-73) from the field, 14.3% (2-14) from behind the three-point arc and 68.8% (11-16) from the free throw line.
The Wesley Christian Ryders host the Warriors of Oak Hill Academy (Va.).