diff --git a/Sources/Private/Utility/Primitives/BezierPathRoundExtension.swift b/Sources/Private/Utility/Primitives/BezierPathRoundExtension.swift
index 8ddca401ac..eca89f078b 100644
--- a/Sources/Private/Utility/Primitives/BezierPathRoundExtension.swift
+++ b/Sources/Private/Utility/Primitives/BezierPathRoundExtension.swift
@@ -83,6 +83,8 @@ extension BezierPath {
       uniquePath.addVertex(elements[i].vertex)
     }
 
+    var pathHasRoundedCorner = false
+
     for elementIndex in 0..<uniquePath.elements.count {
       currentVertex = uniquePath.elements[elementIndex].vertex
 
@@ -96,6 +98,9 @@ extension BezierPath {
         continue
       }
 
+      // Track whether or not this path has at least one rounded corner
+      pathHasRoundedCorner = true
+
       // Do not round start and end if not closed
       if !newPath.closed, elementIndex == 0 || elementIndex == uniquePath.elements.count - 1 {
         newPath.addVertex(currentVertex)
@@ -142,6 +147,12 @@ extension BezierPath {
       }
     }
 
+    // If we didn't need to apply the corner radius to any of the corners,
+    // just use the original given path instead of modifying it.
+    if !pathHasRoundedCorner {
+      return self
+    }
+
     return newPath
   }
 }
diff --git a/Tests/Samples/Issues/pr_1964.json b/Tests/Samples/Issues/pr_1964.json
new file mode 100644
index 0000000000..33fcab03b4
--- /dev/null
+++ b/Tests/Samples/Issues/pr_1964.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/Tests/__Snapshots__/AutomaticEngineTests/testAutomaticEngineDetection.Issues-pr_1964.txt b/Tests/__Snapshots__/AutomaticEngineTests/testAutomaticEngineDetection.Issues-pr_1964.txt
new file mode 100644
index 0000000000..4b816d7353
--- /dev/null
+++ b/Tests/__Snapshots__/AutomaticEngineTests/testAutomaticEngineDetection.Issues-pr_1964.txt
@@ -0,0 +1 @@
+Supports Core Animation engine
\ No newline at end of file
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