diff --git a/lib/matplotlib/axes/_axes.py b/lib/matplotlib/axes/_axes.py
index ccccae9db634..3a6ac3fb420f 100644
--- a/lib/matplotlib/axes/_axes.py
+++ b/lib/matplotlib/axes/_axes.py
@@ -2735,8 +2735,10 @@ def pie(self, x, explode=None, labels=None, colors=None,
         shadow : bool, optional, default: False
             Draw a shadow beneath the pie.
 
-        labeldistance : float, optional, default: 1.1
-            The radial distance at which the pie labels are drawn
+        labeldistance : float or None, optional, default: 1.1
+            The radial distance at which the pie labels are drawn.
+            If set to ``None``, label are not drawn, but are stored for use in
+            ``legend()``
 
         startangle : float, optional, default: None
             If not *None*, rotates the start of the pie chart by *angle*
@@ -2858,23 +2860,25 @@ def get_next_color():
                 shad.set_label('_nolegend_')
                 self.add_patch(shad)
 
-            xt = x + labeldistance * radius * math.cos(thetam)
-            yt = y + labeldistance * radius * math.sin(thetam)
-            label_alignment_h = xt > 0 and 'left' or 'right'
-            label_alignment_v = 'center'
-            label_rotation = 'horizontal'
-            if rotatelabels:
-                label_alignment_v = yt > 0 and 'bottom' or 'top'
-                label_rotation = np.rad2deg(thetam) + (0 if xt > 0 else 180)
-            props = dict(horizontalalignment=label_alignment_h,
-                          verticalalignment=label_alignment_v,
-                          rotation=label_rotation,
-                          size=rcParams['xtick.labelsize'])
-            props.update(textprops)
-
-            t = self.text(xt, yt, label, **props)
-
-            texts.append(t)
+            if labeldistance is not None:
+                xt = x + labeldistance * radius * math.cos(thetam)
+                yt = y + labeldistance * radius * math.sin(thetam)
+                label_alignment_h = xt > 0 and 'left' or 'right'
+                label_alignment_v = 'center'
+                label_rotation = 'horizontal'
+                if rotatelabels:
+                    label_alignment_v = yt > 0 and 'bottom' or 'top'
+                    label_rotation = np.rad2deg(thetam) + (0 if xt > 0
+                                                             else 180)
+                props = dict(horizontalalignment=label_alignment_h,
+                            verticalalignment=label_alignment_v,
+                            rotation=label_rotation,
+                            size=rcParams['xtick.labelsize'])
+                props.update(textprops)
+
+                t = self.text(xt, yt, label, **props)
+
+                texts.append(t)
 
             if autopct is not None:
                 xt = x + pctdistance * radius * math.cos(thetam)
diff --git a/lib/matplotlib/tests/baseline_images/test_axes/pie_no_label.png b/lib/matplotlib/tests/baseline_images/test_axes/pie_no_label.png
new file mode 100644
index 000000000000..d2d651e421dc
Binary files /dev/null and b/lib/matplotlib/tests/baseline_images/test_axes/pie_no_label.png differ
diff --git a/lib/matplotlib/tests/test_axes.py b/lib/matplotlib/tests/test_axes.py
index a5b7331d3777..683113abe38d 100644
--- a/lib/matplotlib/tests/test_axes.py
+++ b/lib/matplotlib/tests/test_axes.py
@@ -4740,6 +4740,20 @@ def test_pie_rotatelabels_true():
     plt.axis('equal')
 
 
+@image_comparison(baseline_images=['pie_no_label'], extensions=['png'])
+def test_pie_nolabel_but_legend():
+    labels = 'Frogs', 'Hogs', 'Dogs', 'Logs'
+    sizes = [15, 30, 45, 10]
+    colors = ['yellowgreen', 'gold', 'lightskyblue', 'lightcoral']
+    explode = (0, 0.1, 0, 0)  # only "explode" the 2nd slice (i.e. 'Hogs')
+    plt.pie(sizes, explode=explode, labels=labels, colors=colors,
+            autopct='%1.1f%%', shadow=True, startangle=90, labeldistance=None,
+            rotatelabels=True)
+    plt.axis('equal')
+    plt.ylim(-1.2, 1.2)
+    plt.legend()
+
+
 def test_pie_textprops():
     data = [23, 34, 45]
     labels = ["Long name 1", "Long name 2", "Long name 3"]