diff --git a/src/TreeSupport.cpp b/src/TreeSupport.cpp
index 21a34796de..7d5380478a 100644
--- a/src/TreeSupport.cpp
+++ b/src/TreeSupport.cpp
@@ -2023,6 +2023,7 @@ void TreeSupport::filterFloatingLines(std::vector<Shape>& support_layer_storage)
                 return;
             }
 
+            Shape relevant_forbidden = volumes_.getCollision(0, layer_idx, true);
             Shape outer_walls = TreeSupportUtils::toPolylines(support_layer_storage[layer_idx - 1].getOutsidePolygons())
                                     .createTubeShape(
                                         closing_dist,
@@ -2043,6 +2044,11 @@ void TreeSupport::filterFloatingLines(std::vector<Shape>& support_layer_storage)
                 {
                     holes_resting_outside[layer_idx].emplace(idx);
                 }
+                else if (! hole.intersection(PolygonUtils::clipPolygonWithAABB(relevant_forbidden, hole_aabb)).offset(-config.xy_min_distance / 2).empty())
+                {
+                    // technically not resting outside, also not valid, but the alternative is potentially having lines go through the model
+                    holes_resting_outside[layer_idx].emplace(idx);
+                }
                 else
                 {
                     for (auto [idx2, hole2] : holeparts[layer_idx - 1] | ranges::views::enumerate)