diff --git a/smithy-model/src/main/java/software/amazon/smithy/model/neighbor/Walker.java b/smithy-model/src/main/java/software/amazon/smithy/model/neighbor/Walker.java
index 00d06db62ff..1138f46684b 100644
--- a/smithy-model/src/main/java/software/amazon/smithy/model/neighbor/Walker.java
+++ b/smithy-model/src/main/java/software/amazon/smithy/model/neighbor/Walker.java
@@ -19,6 +19,7 @@
 import java.util.Deque;
 import java.util.HashSet;
 import java.util.Iterator;
+import java.util.LinkedHashSet;
 import java.util.List;
 import java.util.NoSuchElementException;
 import java.util.Set;
@@ -78,7 +79,7 @@ public Set<Shape> walkShapes(Shape shape) {
      * @return Returns a set of connected shapes.
      */
     public Set<Shape> walkShapes(Shape shape, Predicate<Relationship> predicate) {
-        Set<Shape> result = new HashSet<>();
+        Set<Shape> result = new LinkedHashSet<>();
         Iterator<Shape> shapeIterator = iterateShapes(shape, predicate);
         while (shapeIterator.hasNext()) {
             result.add(shapeIterator.next());