diff --git a/lib/mpl_toolkits/mplot3d/art3d.py b/lib/mpl_toolkits/mplot3d/art3d.py
index 5df5c8271e7f..e18563a816d6 100644
--- a/lib/mpl_toolkits/mplot3d/art3d.py
+++ b/lib/mpl_toolkits/mplot3d/art3d.py
@@ -808,6 +808,7 @@ def patch_collection_2d_to_3d(col, zs=0, zdir='z', depthshade=True):
     """
     if isinstance(col, PathCollection):
         col.__class__ = Path3DCollection
+        col._offset_zordered = None
     elif isinstance(col, PatchCollection):
         col.__class__ = Patch3DCollection
     col._depthshade = depthshade
diff --git a/lib/mpl_toolkits/mplot3d/tests/test_art3d.py b/lib/mpl_toolkits/mplot3d/tests/test_art3d.py
index 02d35aad0e4b..4ed48aae4685 100644
--- a/lib/mpl_toolkits/mplot3d/tests/test_art3d.py
+++ b/lib/mpl_toolkits/mplot3d/tests/test_art3d.py
@@ -1,6 +1,9 @@
+import numpy as np
+
 import matplotlib.pyplot as plt
 
 from matplotlib.backend_bases import MouseEvent
+from mpl_toolkits.mplot3d.art3d import Line3DCollection
 
 
 def test_scatter_3d_projection_conservation():
@@ -36,3 +39,18 @@ def test_scatter_3d_projection_conservation():
             assert contains is True
             assert len(ind["ind"]) == 1
             assert ind["ind"][0] == i
+
+
+def test_zordered_error():
+    # Smoke test for https://github.com/matplotlib/matplotlib/issues/26497
+    lc = [(np.fromiter([0.0, 0.0, 0.0], dtype="float"),
+           np.fromiter([1.0, 1.0, 1.0], dtype="float"))]
+    pc = [np.fromiter([0.0, 0.0], dtype="float"),
+          np.fromiter([0.0, 1.0], dtype="float"),
+          np.fromiter([1.0, 1.0], dtype="float")]
+
+    fig = plt.figure()
+    ax = fig.add_subplot(projection="3d")
+    ax.add_collection(Line3DCollection(lc))
+    ax.scatter(*pc, visible=False)
+    plt.draw()