diff --git a/src/index.js b/src/index.js
index 256d391..6399e0e 100644
--- a/src/index.js
+++ b/src/index.js
@@ -211,6 +211,9 @@ function* walkIterativelyPublic (target, config, maxDepth, visited = new Set(),
         // as we discover and walk them, new WeakMaps and references may be discovered
         // the weakMapTracker will continue to iterate them until they are exhausted
         for (const [childValue, childPath, childMaxDepth] of tracker.flushAll()) {
+            if (!shouldVisit(childValue, visited, config.shouldWalk)) {
+                continue;
+            }
             yield [childValue, childPath, childMaxDepth];
             tracker.visitValue(childValue, childPath, childMaxDepth);
             const weakMapValueSubTree = walkIteratively(childValue, config, childMaxDepth, visited, childPath);
@@ -230,10 +233,10 @@ const walkIteratively = function*(target, config, maxDepth, visited, path) {
     const props = getAllProps(target, config.shouldInvokeGetters, config.getAdditionalProps);
     const childMaxDepth = maxDepth - 1;
     for (const [key, childValue] of props) {
-        const childPath = [...path, config.generateKey(key, childValue)];
         if (!shouldVisit(childValue, visited, config.shouldWalk)) {
             continue;
         }
+        const childPath = [...path, config.generateKey(key, childValue)];
         yield [childValue, childPath, childMaxDepth];
         const subTreeIterator = walkIteratively(childValue, config, childMaxDepth, visited, childPath);
         if (config.depthFirst) {
diff --git a/test/index.js b/test/index.js
index d74a124..1e4882b 100644
--- a/test/index.js
+++ b/test/index.js
@@ -1,6 +1,12 @@
 import test from 'ava';
 import LavaTube from '../src/index.js';
 
+test('non-visitable initial value', t => {
+  const start = 1;
+  const allValues = getAll({}, start);
+  t.deepEqual(allValues, []);
+})
+
 test('exhaustiveWeakMapSearch', t => {
   const map = new WeakMap();
   const obj = {};
@@ -23,6 +29,23 @@ test('exhaustiveWeakMapSearch', t => {
   ]);
 })
 
+test('exhaustiveWeakMapSearch - non-visitable', t => {
+  const map = new WeakMap();
+  const obj = {};
+  const nonVistitable = 'abc'
+  map.set(obj, nonVistitable);
+  const start = {
+    map,
+    obj,
+  };
+  const opts = {
+    exhaustiveWeakMapSearch: true,
+  }
+
+  const allValues = getAll(opts, start);
+  t.false(allValues.includes(nonVistitable));
+})
+
 test('exhaustiveWeakMapSearch - deep', t => {
   const firstWeakMap = new WeakMap()
   let lastWeakMap = firstWeakMap
@@ -62,4 +85,12 @@ function find (opts, start, target) {
     }
   });
   return result;
+}
+
+function getAll (opts, start) {
+  const results = [];
+  new LavaTube(opts).walk(start, (value, path) => {
+    results.push(value);
+  });
+  return results;
 }
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