diff --git a/src/thor/timedistancebssmatrix.cc b/src/thor/timedistancebssmatrix.cc
index aac7a1d4bf..88b6dd9069 100644
--- a/src/thor/timedistancebssmatrix.cc
+++ b/src/thor/timedistancebssmatrix.cc
@@ -463,7 +463,7 @@ bool TimeDistanceBSSMatrix::UpdateDestinations(
     // Subtract the partial remaining cost and distance along the edge.
     float remainder = dest_edge->second;
     Cost newcost = pred.cost() - (pedestrian_costing_->EdgeCost(edge, tile) * remainder);
-    if (newcost.cost < dest.best_cost.cost) {
+    if (newcost.cost > 0 && newcost.cost < dest.best_cost.cost) {
       dest.best_cost = newcost;
       dest.distance = pred.path_distance() - (edge->length() * remainder);
     }
diff --git a/src/thor/timedistancematrix.cc b/src/thor/timedistancematrix.cc
index 3188103243..43873706c1 100644
--- a/src/thor/timedistancematrix.cc
+++ b/src/thor/timedistancematrix.cc
@@ -518,7 +518,7 @@ bool TimeDistanceMatrix::UpdateDestinations(
     float remainder = dest_edge->second;
     Cost newcost =
         pred.cost() - (costing_->EdgeCost(edge, tile, time_info, flow_sources) * remainder);
-    if (newcost.cost < dest.best_cost.cost) {
+    if (newcost.cost > 0 && newcost.cost < dest.best_cost.cost) {
       dest.best_cost = newcost;
       dest.distance = pred.path_distance() - (edge->length() * remainder);
     }