diff --git a/lib/matplotlib/backend_bases.py b/lib/matplotlib/backend_bases.py
index acbe52d77a3f..8c11f841cb42 100644
--- a/lib/matplotlib/backend_bases.py
+++ b/lib/matplotlib/backend_bases.py
@@ -2198,19 +2198,25 @@ def print_figure(
 
             if bbox_inches is None:
                 bbox_inches = rcParams['savefig.bbox']
+
+            if (self.figure.get_constrained_layout() or
+                    bbox_inches == "tight"):
+                # we need to trigger a draw before printing to make sure
+                # CL works.  "tight" also needs a draw to get the right
+                # locations:
+                renderer = _get_renderer(
+                    self.figure,
+                    functools.partial(
+                        print_method, orientation=orientation)
+                )
+                ctx = (renderer._draw_disabled()
+                       if hasattr(renderer, '_draw_disabled')
+                       else suppress())
+                with ctx:
+                    self.figure.draw(renderer)
+
             if bbox_inches:
                 if bbox_inches == "tight":
-                    renderer = _get_renderer(
-                        self.figure,
-                        functools.partial(
-                            print_method, orientation=orientation)
-                    )
-                    ctx = (renderer._draw_disabled()
-                           if hasattr(renderer, '_draw_disabled')
-                           else suppress())
-                    with ctx:
-                        self.figure.draw(renderer)
-
                     bbox_inches = self.figure.get_tightbbox(
                         renderer, bbox_extra_artists=bbox_extra_artists)
                     if pad_inches is None:
@@ -2225,6 +2231,9 @@ def print_figure(
             else:
                 _bbox_inches_restore = None
 
+            # we have already done CL above, so turn it off:
+            cl_state = self.figure.get_constrained_layout()
+            self.figure.set_constrained_layout(False)
             try:
                 result = print_method(
                     filename,
@@ -2241,6 +2250,8 @@ def print_figure(
                 self.figure.set_facecolor(origfacecolor)
                 self.figure.set_edgecolor(origedgecolor)
                 self.figure.set_canvas(self)
+            # reset to cached state
+            self.figure.set_constrained_layout(cl_state)
             return result
 
     @classmethod
diff --git a/lib/matplotlib/tests/baseline_images/test_constrainedlayout/test_bbox.png b/lib/matplotlib/tests/baseline_images/test_constrainedlayout/test_bbox.png
new file mode 100644
index 000000000000..f21e247f21fa
Binary files /dev/null and b/lib/matplotlib/tests/baseline_images/test_constrainedlayout/test_bbox.png differ
diff --git a/lib/matplotlib/tests/baseline_images/test_constrainedlayout/test_bboxtight.png b/lib/matplotlib/tests/baseline_images/test_constrainedlayout/test_bboxtight.png
new file mode 100644
index 000000000000..6e5414ee0a25
Binary files /dev/null and b/lib/matplotlib/tests/baseline_images/test_constrainedlayout/test_bboxtight.png differ
diff --git a/lib/matplotlib/tests/test_constrainedlayout.py b/lib/matplotlib/tests/test_constrainedlayout.py
index 7ea92a160c11..ad7dbcd3bf57 100644
--- a/lib/matplotlib/tests/test_constrainedlayout.py
+++ b/lib/matplotlib/tests/test_constrainedlayout.py
@@ -4,6 +4,7 @@
 from matplotlib.testing.decorators import image_comparison
 import matplotlib.pyplot as plt
 import matplotlib.gridspec as gridspec
+import matplotlib.transforms as mtransforms
 from matplotlib import ticker, rcParams
 
 
@@ -503,3 +504,20 @@ def test_manually_set_position():
     fig.canvas.draw()
     pp = axs[0].get_position()
     np.testing.assert_allclose(pp, [[0.2, 0.2], [0.44, 0.5]])
+
+
+@image_comparison(['test_bboxtight.png'],
+                  remove_text=True, style='mpl20',
+                  savefig_kwarg={'bbox_inches': 'tight'})
+def test_bboxtight():
+    fig, ax = plt.subplots(constrained_layout=True)
+    ax.set_aspect(1.)
+
+
+@image_comparison(['test_bbox.png'],
+                  remove_text=True, style='mpl20',
+                  savefig_kwarg={'bbox_inches':
+                                 mtransforms.Bbox([[0.5, 0], [2.5, 2]])})
+def test_bbox():
+    fig, ax = plt.subplots(constrained_layout=True)
+    ax.set_aspect(1.)

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