diff --git a/pygame_gui/elements/ui_window.py b/pygame_gui/elements/ui_window.py
index 7b6f584e..12755d2f 100644
--- a/pygame_gui/elements/ui_window.py
+++ b/pygame_gui/elements/ui_window.py
@@ -30,6 +30,7 @@ class UIWindow(UIElement, IContainerLikeInterface, IWindowInterface):
     :param resizable: Whether this window is resizable or not, defaults to False.
     :param visible: Whether the element is visible by default. Warning - container visibility may
                     override this.
+    :param draggable: Whether this window is draggable or not, defaults to True.
     """
 
     def __init__(self,
@@ -280,17 +281,17 @@ def update(self, time_delta: float):
                     self.starting_grab_difference = (mouse_x - self.rect.x,
                                                      mouse_y - self.rect.y)
 
-                current_grab_difference = (mouse_x - self.rect.x,
-                                           mouse_y - self.rect.y)
+                if self.draggable:
+                    current_grab_difference = (mouse_x - self.rect.x,
+                                               mouse_y - self.rect.y)
 
-                adjustment_required = (current_grab_difference[0] -
-                                       self.starting_grab_difference[0],
-                                       current_grab_difference[1] -
-                                       self.starting_grab_difference[1])
+                    adjustment_required = (current_grab_difference[0] -
+                                           self.starting_grab_difference[0],
+                                           current_grab_difference[1] -
+                                           self.starting_grab_difference[1])
 
-                if self.draggable:
                     self.set_relative_position((self.relative_rect.x + adjustment_required[0],
-                                            self.relative_rect.y + adjustment_required[1]))
+                                                self.relative_rect.y + adjustment_required[1]))
             else:
                 self.grabbed_window = False
 
diff --git a/tests/test_elements/test_ui_window.py b/tests/test_elements/test_ui_window.py
index 3d25d105..6ec3184c 100644
--- a/tests/test_elements/test_ui_window.py
+++ b/tests/test_elements/test_ui_window.py
@@ -235,6 +235,28 @@ def test_update(self, _init_pygame, default_ui_manager,
         default_ui_manager.mouse_position = (25, 25)
         window.update(time_delta=0.05)
 
+        window = UIWindow(pygame.Rect(0, 0, 200, 200), window_display_title="Test Window",
+                          manager=default_ui_manager, draggable=True)
+
+        window.title_bar.held = True
+        default_ui_manager.mouse_position = (100, 10)
+        window.update(time_delta=0.05)
+        default_ui_manager.mouse_position = (150, 10)
+        window.update(time_delta=0.05)
+
+        assert window.get_relative_rect().topleft == (50, 0)
+
+        window = UIWindow(pygame.Rect(0, 0, 200, 200), window_display_title="Test Window",
+                          manager=default_ui_manager, draggable=False)
+
+        window.title_bar.held = True
+        default_ui_manager.mouse_position = (100, 10)
+        window.update(time_delta=0.05)
+        default_ui_manager.mouse_position = (150, 10)
+        window.update(time_delta=0.05)
+
+        assert window.get_relative_rect().topleft == (0, 0)
+
     def test_check_hover(self, _init_pygame, default_ui_manager: UIManager,
                          _display_surface_return_none: None):
         window = UIWindow(pygame.Rect(100, 100, 200, 200), window_display_title="Test Window",