diff --git a/lib/matplotlib/axes/_base.py b/lib/matplotlib/axes/_base.py
index f994a9812d71..213eb633fdcd 100644
--- a/lib/matplotlib/axes/_base.py
+++ b/lib/matplotlib/axes/_base.py
@@ -2439,6 +2439,16 @@ def handle_single_axis(scale, autoscaleon, shared_axes, interval,
dl.extend(y_finite)
bb = mtransforms.BboxBase.union(dl)
+ # fall back on the viewlimits if this is not finite:
+ vl = None
+ if not np.isfinite(bb.intervalx).all():
+ vl = mtransforms.BboxBase.union([ax.viewLim for ax in shared])
+ bb.intervalx = vl.intervalx
+ if not np.isfinite(bb.intervaly).all():
+ if vl is None:
+ vl = mtransforms.BboxBase.union(
+ [ax.viewLim for ax in shared])
+ bb.intervaly = vl.intervaly
x0, x1 = getattr(bb, interval)
locator = axis.get_major_locator()
x0, x1 = locator.nonsingular(x0, x1)
diff --git a/lib/matplotlib/tests/test_axes.py b/lib/matplotlib/tests/test_axes.py
index 45384d6b30fa..892a5168459e 100644
--- a/lib/matplotlib/tests/test_axes.py
+++ b/lib/matplotlib/tests/test_axes.py
@@ -6281,3 +6281,16 @@ def test_axis_bool_arguments(fig_test, fig_ref):
ax.axis(False)
ax.axis(True)
fig_ref.add_subplot(212).axis("on")
+
+
+def test_datetime_masked():
+ # make sure that all-masked data falls back to the viewlim
+ # set in convert.axisinfo....
+ x = np.array([datetime.datetime(2017, 1, n) for n in range(1, 6)])
+ y = np.array([1, 2, 3, 4, 5])
+ m = np.ma.masked_greater(y, 0)
+
+ fig, ax = plt.subplots()
+ ax.plot(x, m)
+ # these are the default viewlim
+ assert ax.get_xlim() == (730120.0, 733773.0)
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