diff --git a/lib/matplotlib/ticker.py b/lib/matplotlib/ticker.py
index 83e13841677a..fe9d23450677 100644
--- a/lib/matplotlib/ticker.py
+++ b/lib/matplotlib/ticker.py
@@ -2706,6 +2706,29 @@ def get_log_range(lo, hi):
         else:
             ticklocs = decades
 
+        # Add ticks with linear spacing in the linear region for better
+        # density near zero.
+        if has_b:
+            if self.numticks is None:
+                n_linear = 3
+            elif self.numticks <= 0:
+                n_linear = 0
+            else:
+                n_linear = min(5, self.numticks)
+
+            if n_linear > 0:
+                linear_vmin = max(vmin, -linthresh)
+                linear_vmax = min(vmax, linthresh)
+
+                if linear_vmax > linear_vmin:
+                    linear_ticks = np.linspace(
+                        linear_vmin, linear_vmax, n_linear
+                    )
+                    all_ticks = np.concatenate(
+                        [np.asarray(ticklocs), linear_ticks]
+                    )
+                    ticklocs = np.sort(np.unique(all_ticks))
+
         return self.raise_if_exceeds(np.array(ticklocs))
 
     def view_limits(self, vmin, vmax):