diff --git a/plugins/applyTransforms.js b/plugins/applyTransforms.js
index 8adef614e..f02f13517 100644
--- a/plugins/applyTransforms.js
+++ b/plugins/applyTransforms.js
@@ -98,7 +98,13 @@ export const applyTransforms = (root, params) => {
             (matrix.data[0] !== matrix.data[3] ||
               matrix.data[1] !== -matrix.data[2]) &&
             (matrix.data[0] !== -matrix.data[3] ||
-              matrix.data[1] !== matrix.data[2])
+              matrix.data[1] !== matrix.data[2]) &&
+            // except that non-scaling-stroke and no skew
+            !(
+              node.attributes['vector-effect'] === 'non-scaling-stroke' &&
+              matrix.data[1] === 0 &&
+              matrix.data[2] === 0
+            )
           ) {
             return;
           }
diff --git a/test/plugins/convertPathData.19.svg.txt b/test/plugins/convertPathData.19.svg.txt
index 03dfe0b6b..ca7827d97 100644
--- a/test/plugins/convertPathData.19.svg.txt
+++ b/test/plugins/convertPathData.19.svg.txt
@@ -1,9 +1,15 @@
 <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 500 500">
     <path transform="translate(250, 250) scale(1.5, 1.5) translate(-250, -250)" fill="#7ED321" stroke="#000" stroke-width="15" vector-effect="non-scaling-stroke" d="M125 125h250v250h-250v-250z"/>
+    <path transform="translate(20, 20) scale(.5, 1.2)" fill="#7ED321" stroke="#000" stroke-width="15" vector-effect="non-scaling-stroke" d="M125 125h250v250h-250v-250z"/>
+    <path fill="none" stroke="red" stroke-width="2" d="m10 10 10 10H10z" transform="matrix(1 0 0 2 10 0)" vector-effect="non-scaling-stroke"/>
+    <path fill="none" stroke="green" stroke-width="2" d="m10 10 10 10H10z" transform="matrix(1 0 0 2 40 0)"/>
 </svg>
 
 @@@
 
 <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 500 500">
     <path fill="#7ED321" stroke="#000" stroke-width="15" vector-effect="non-scaling-stroke" d="M62.5 62.5h375v375h-375z"/>
+    <path fill="#7ED321" stroke="#000" stroke-width="15" vector-effect="non-scaling-stroke" d="M82.5 170h125v300h-125z"/>
+    <path fill="none" stroke="red" stroke-width="2" d="m20 20 10 20H20z" vector-effect="non-scaling-stroke"/>
+    <path fill="none" stroke="green" stroke-width="2" d="m10 10 10 10H10z" transform="matrix(1 0 0 2 40 0)"/>
 </svg>