diff --git a/lib/matplotlib/tests/test_datetime.py b/lib/matplotlib/tests/test_datetime.py
index 05c94e5814e0..6df829ac6a89 100644
--- a/lib/matplotlib/tests/test_datetime.py
+++ b/lib/matplotlib/tests/test_datetime.py
@@ -14,11 +14,25 @@ def test_acorr(self):
         fig, ax = plt.subplots()
         ax.acorr(...)
 
-    @pytest.mark.xfail(reason="Test for annotate not written yet")
     @mpl.style.context("default")
     def test_annotate(self):
-        fig, ax = plt.subplots()
-        ax.annotate(...)
+        mpl.rcParams["date.converter"] = 'concise'
+        fig, (ax1, ax2, ax3, ax4) = plt.subplots(4, 1, layout="constrained")
+
+        start_date = datetime.datetime(2023, 10, 1)
+        dates = [start_date + datetime.timedelta(days=i) for i in range(31)]
+        data = list(range(1, 32))
+        test_text = "Test Text"
+
+        ax1.plot(dates, data)
+        ax1.annotate(text=test_text, xy=(dates[15], data[15]))
+        ax2.plot(data, dates)
+        ax2.annotate(text=test_text, xy=(data[5], dates[26]))
+        ax3.plot(dates, dates)
+        ax3.annotate(text=test_text, xy=(dates[15], dates[3]))
+        ax4.plot(dates, dates)
+        ax4.annotate(text=test_text, xy=(dates[5], dates[30]),
+                        xytext=(dates[1], dates[7]), arrowprops=dict(facecolor='red'))
 
     @pytest.mark.xfail(reason="Test for arrow not written yet")
     @mpl.style.context("default")