diff --git a/src/scientific_plots/__init__.py b/src/scientific_plots/__init__.py
index 530b04ed879db00e0be37c21da5238b7a5140f50..f5f8f0ee58414534a92b152d35c36689a6cb2ed1 100644
--- a/src/scientific_plots/__init__.py
+++ b/src/scientific_plots/__init__.py
@@ -5,4 +5,4 @@ useful across several different projects and repositories. It also contains
 stub-files with several data-type annotations for scipy and matplot-lib
 functions."""
 
-__version__ = "1.8.8"
+__version__ = "1.8.9"
diff --git a/src/scientific_plots/default_plots.py b/src/scientific_plots/default_plots.py
index 97fbc82a5581f85141c9a3692d719ca960a7543f..61a6f778852c661782c4438de87824d89680542b 100644
--- a/src/scientific_plots/default_plots.py
+++ b/src/scientific_plots/default_plots.py
@@ -366,7 +366,8 @@ def two_plots(x1: In, y1: In, label1: str,
               single_log: bool = False,
               single_log_y: bool = False,
               xlim: Optional[Tuple[float, float]] = None,
-              ylim: Optional[Tuple[float, float]] = None) -> None:
+              ylim: Optional[Tuple[float, float]] = None,
+              inner_y: bool = False) -> None:
     """Create a simple 1D plot with two different graphs inside of a single
     plot and a single y-axis.
 
@@ -374,6 +375,7 @@ def two_plots(x1: In, y1: In, label1: str,
     cycle -- skip this many colours in the colour-wheel before plotting
     color -- use these indeces in the colour-wheel when creating a plot
     outer -- use the outer limits on the x-axis rather than the inner limit
+    inner_y -- Use the tighter definition for the limits on the y-axis
     """
     x1, y1 = fix_inputs(x1, y1)  # type: ignore
     x2, y2 = fix_inputs(x2, y2)  # type: ignore
@@ -431,9 +433,14 @@ def two_plots(x1: In, y1: In, label1: str,
             x2, y2, xlim=xlim,
             logscale=(logscale or single_log_y))
 
-        plt.ylim(
-            min(ylim1[0], ylim2[0]),
-            max(ylim1[1], ylim1[1]))
+        if inner_y:
+            plt.ylim(
+                max(ylim1[0], ylim2[0]),
+                min(ylim1[1], ylim2[1]))
+        else:
+            plt.ylim(
+                min(ylim1[0], ylim2[0]),
+                max(ylim1[1], ylim2[1]))
     else:
         plt.ylim(*ylim)