diff --git a/lib/mpl_toolkits/mplot3d/axis3d.py b/lib/mpl_toolkits/mplot3d/axis3d.py
index 0ac2e50b1a1a..a5c87c9d3cd4 100644
--- a/lib/mpl_toolkits/mplot3d/axis3d.py
+++ b/lib/mpl_toolkits/mplot3d/axis3d.py
@@ -722,9 +722,22 @@ def get_tightbbox(self, renderer=None, *, for_layout_only=False):
             other.append(self.offsetText.get_window_extent(renderer))
         if self.line.get_visible():
             other.append(self.line.get_window_extent(renderer))
-        if (self.label.get_visible() and not for_layout_only and
-                self.label.get_text()):
-            other.append(self.label.get_window_extent(renderer))
+        if self.label.get_visible() and self.label.get_text():
+            bb = self.label.get_window_extent(renderer)
+            if for_layout_only:
+                if self.axis_name == "z":
+                    if bb.height > 0:
+                        bb.y0 = (bb.y0 + bb.y1) / 2 - 0.5
+                        bb.y1 = bb.y0 + 1.0
+                elif self.axis_name == "x":
+                    if bb.width > 0:
+                        bb.x0 = (bb.x0 + bb.x1) / 2 - 0.5
+                        bb.x1 = bb.x0 + 1.0
+                elif self.axis_name == "y":
+                    if bb.height > 0:
+                        bb.y0 = (bb.y0 + bb.y1) / 2 - 0.5
+                        bb.y1 = bb.y0 + 1.0
+            other.append(bb)
 
         return mtransforms.Bbox.union([*bb_1, *bb_2, *other])