diff --git a/README.md b/README.md
index 03f3c49..95af45c 100644
--- a/README.md
+++ b/README.md
@@ -287,8 +287,8 @@ result. The plot is saved using the matplotlib API.
 
 ```python
 import matplotlib.pyplot as plt
-
 from asreview import open_state
+
 from asreviewcontrib.insights.plot import plot_recall
 
 with open_state("example.asreview") as s:
@@ -309,8 +309,8 @@ It's straightforward to customize the plots if you are familiar with
 
 ```python
 import matplotlib.pyplot as plt
-
 from asreview import open_state
+
 from asreviewcontrib.insights.plot import plot_wss
 
 with open_state("example.asreview") as s:
@@ -332,8 +332,8 @@ knowledge is excluded from the plot.
 
 ```python
 import matplotlib.pyplot as plt
-
 from asreview import open_state
+
 from asreviewcontrib.insights.plot import plot_wss
 
 with open_state("example.asreview") as s:
@@ -350,8 +350,8 @@ change this behavior. The arguments are identical for each plot function.
 
 ```python
 import matplotlib.pyplot as plt
-
 from asreview import open_state
+
 from asreviewcontrib.insights.plot import plot_wss
 
 with open_state("example.asreview") as s:
@@ -362,7 +362,30 @@ with open_state("example.asreview") as s:
     fig.savefig("example_absolute_axis.png")
 ```
 
-![Recall with absolute axes](https://github.com/asreview/asreview-insights/blob/main/docs/example_absolute_axes.png)
+![Recall with absolute
+axes](https://github.com/asreview/asreview-insights/blob/main/docs/example_absolute_axes.png)
+
+#### Example: Adjusting the Random and Perfect curves
+
+By default, each plot will have a curve representing perfect performance, and a
+curve representing random sampling performance. Both curves can be removed from
+the graph.
+
+```python
+import matplotlib.pyplot as plt
+from asreview import open_state
+
+from asreviewcontrib.insights.plot import plot_recall
+
+with open_state("example.asreview") as s:
+
+    fig, ax = plt.subplots()
+    plot_recall(ax, s, show_random=False, show_perfect=False)
+
+    fig.savefig("example_without_curves.png")
+```
+
+![Recall with absolute axes](https://github.com/asreview/asreview-insights/blob/main/docs/example_without_curves.png)
 
 
 #### Example: Legend for multiple curves in one plot
diff --git a/asreviewcontrib/insights/plot.py b/asreviewcontrib/insights/plot.py
index 80f06a9..9dd8600 100644
--- a/asreviewcontrib/insights/plot.py
+++ b/asreviewcontrib/insights/plot.py
@@ -13,6 +13,7 @@ def plot_recall(
     x_absolute=False,
     y_absolute=False,
     show_random=True,
+    show_perfect=True,
     show_legend=True,
     legend_values=None,
     legend_kwargs=None,
@@ -34,6 +35,8 @@ def plot_recall(
         If False, the fraction of all included records found is on the y-axis.
     show_random: bool
         Show the random curve in the plot.
+    show_perfect: bool
+        Show the perfect curve in the plot.
     show_legend: bool
         If state_obj contains multiple states, show a legend in the plot.
     legend_values: list[str]
@@ -61,6 +64,7 @@ def plot_recall(
         x_absolute=x_absolute,
         y_absolute=y_absolute,
         show_random=show_random,
+        show_perfect=show_perfect,
         show_legend=show_legend,
         legend_values=legend_values,
         legend_kwargs=legend_kwargs,
@@ -237,6 +241,7 @@ def _plot_recall(
     x_absolute=False,
     y_absolute=False,
     show_random=True,
+    show_perfect=True,
     show_legend=True,
     legend_values=None,
     legend_kwargs=None,
@@ -258,7 +263,10 @@ def _plot_recall(
     ax = _add_recall_info(ax, labels, x_absolute, y_absolute)
 
     if show_random:
-        ax = _add_random_curve(ax, labels, x_absolute, y_absolute)
+        ax = _add_random_curve(ax, labels, x_absolute, y_absolute)    
+
+    if show_perfect:
+        ax = _add_perfect_curve(ax, labels, x_absolute, y_absolute)
 
     if show_legend:
         if legend_kwargs is None:
@@ -398,6 +406,33 @@ def _add_random_curve(ax, labels, x_absolute, y_absolute):
     return ax
 
 
+def _add_perfect_curve(ax, labels, x_absolute, y_absolute):
+    """Add a perfect curve to a plot using step-wise increments.
+
+    Returns
+    -------
+    plt.axes.Axes
+        Axes with perfect curve added.
+    """
+    # get total amount of positive labels
+    if isinstance(labels[0], list):
+        n_pos_docs = max(sum(label_set) for label_set in labels)
+        n_docs = max(len(label_set) for label_set in labels)
+    else:
+        n_pos_docs = sum(labels)
+        n_docs = len(labels)
+
+    # Create x and y arrays for step plot
+    x = np.arange(0, n_pos_docs + 1) if x_absolute else np.arange(0, n_pos_docs + 1) / n_docs  # noqa: E501
+    y = np.arange(0, n_pos_docs + 1) if y_absolute else np.arange(0, n_pos_docs + 1) / n_pos_docs  # noqa: E501
+
+    # Plot the stepwise perfect curve
+    ax.step(x, y, color="grey", where="post")
+
+    return ax
+
+
+
 def _add_wss_curve(ax, labels, x_absolute=False, y_absolute=False, legend_label=None):
     x, y = _wss_values(labels, x_absolute=x_absolute, y_absolute=y_absolute)
     ax.step(x, y, where="post", label=legend_label)
diff --git a/docs/example_without_curves.png b/docs/example_without_curves.png
new file mode 100644
index 0000000..2a394f5
Binary files /dev/null and b/docs/example_without_curves.png differ
diff --git a/docs/example_without_curves.py b/docs/example_without_curves.py
new file mode 100644
index 0000000..1b8d70b
--- /dev/null
+++ b/docs/example_without_curves.py
@@ -0,0 +1,10 @@
+import matplotlib.pyplot as plt
+from asreview import open_state
+
+from asreviewcontrib.insights.plot import plot_recall
+
+with open_state("tests/asreview_files/sim_van_de_schoot_2017_logistic.asreview") as s:
+    fig, ax = plt.subplots()
+    plot_recall(ax, s, show_random=False, show_perfect=False)
+
+    fig.savefig("docs/example_without_curves.png")