diff --git a/docs/changelog.rst b/docs/changelog.rst
index c2fb6b792..0e3872fed 100644
--- a/docs/changelog.rst
+++ b/docs/changelog.rst
@@ -208,6 +208,8 @@ Detailed list of changes
 - kitten choose-files: Fix TAB completion in the choose save file name prompt
   not working with respect to the current working directory (:iss:`9387`)
 
+- Fix line-at-once selection not extending wrapped lines into scrollback (:iss:`9437`)
+
 
 0.45.0 [2025-12-24]
 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
diff --git a/kitty/screen.c b/kitty/screen.c
index 70b587f7c..a231c08b0 100644
--- a/kitty/screen.c
+++ b/kitty/screen.c
@@ -4922,14 +4922,18 @@ cell_is_blank(const CPUCell *c) {
     return !cell_has_text(c) || cell_is_char(c, ' ');
 }
 
-bool
-screen_selection_range_for_line(Screen *self, index_type y, index_type *start, index_type *end) {
-    if (y >= self->lines) { return false; }
-    Line *line = visual_line_(self, y);
+static void
+screen_selection_range_for_line_(Line *line, index_type *start, index_type *end) {
     index_type xlimit = line->xnum, xstart = 0;
     while (xlimit > 0 && cell_is_blank(line->cpu_cells + xlimit - 1)) xlimit--;
     while (xstart < xlimit && cell_is_blank(line->cpu_cells + xstart)) xstart++;
     *start = xstart; *end = xlimit > 0 ? xlimit - 1 : 0;
+}
+
+bool
+screen_selection_range_for_line(Screen *self, index_type y, index_type *start, index_type *end) {
+    if (y >= self->lines) { return false; }
+    screen_selection_range_for_line_(visual_line_(self, y), start, end);
     return true;
 }
 
@@ -5260,6 +5264,18 @@ continue_line_upwards(Screen *self, index_type top_line, SelectionBoundary *star
     return top_line;
 }
 
+static index_type
+continue_line_upwards_scrollback(Screen *self, int top_line, SelectionBoundary *start, SelectionBoundary *end) {
+    index_type num_in_scrollback = 0;
+    Line *line = NULL;
+    while (range_line_is_continued(self, top_line) && (line = range_line_(self, top_line-1))) {
+        screen_selection_range_for_line_(line, &start->x, &end->x) ;
+        top_line--; num_in_scrollback++;
+    }
+    return num_in_scrollback;
+}
+
+
 static index_type
 continue_line_downwards(Screen *self, index_type bottom_line, SelectionBoundary *start, SelectionBoundary *end) {
     while (bottom_line + 1 < self->lines && visual_line_is_continued(self, bottom_line + 1)) {
@@ -5400,6 +5416,15 @@ do_update_selection(Screen *self, Selection *s, index_type x, index_type y, bool
                     } else {
                         top_line = continue_line_upwards(self, top_line, &up_start, &up_end);
                         S;
+                        // extend into scrollback if needed
+                        if (top_line == 0 && self->linebuf == self->main_linebuf) {
+                            index_type num_in_scrollback = continue_line_upwards_scrollback(
+                                    self, top_line, &up_start, &up_end);
+                            if (num_in_scrollback) {
+                                s->start_scrolled_by += num_in_scrollback;
+                                s->start.x = up_start.x;
+                            }
+                        }
                     }
                 }
 #undef S
@@ -5413,6 +5438,15 @@ do_update_selection(Screen *self, Selection *s, index_type x, index_type y, bool
                     if (!s->adjusting_start) { a = &s->end; b = &s->start; }
                     if (adjusted_boundary_is_before) {
                         a->in_left_half_of_cell = true; a->x = up_start.x; a->y = top_line;
+                        // extend into scrollback if needed
+                        if (top_line == 0 && self->linebuf == self->main_linebuf) {
+                            index_type num_in_scrollback = continue_line_upwards_scrollback(
+                                    self, top_line, &up_start, &up_end);
+                            if (num_in_scrollback) {
+                                s->start_scrolled_by += num_in_scrollback;
+                                s->start.x = up_start.x;
+                            }
+                        }
                     } else {
                         a->in_left_half_of_cell = false; a->x = down_end.x; a->y = bottom_line;
                     }
diff --git a/kitty_tests/mouse.py b/kitty_tests/mouse.py
index 31b3002b7..081e7422f 100644
--- a/kitty_tests/mouse.py
+++ b/kitty_tests/mouse.py
@@ -235,6 +235,25 @@ class TestMouse(BaseTest):
         self.ae(sel(), ' 123\n 456')
         release(button=GLFW_MOUSE_BUTTON_RIGHT)
 
+        # line select for wrapped lines in scrollback
+        s.reset()
+        s.draw('ABCDE12345')
+        s.linefeed(), s.carriage_return()
+        s.draw(('X' * s.columns) * (s.lines-1))
+        multi_click(x=1, count=3)
+        self.ae(sel(), 'ABCDE12345')
+        s.reset()
+        s.draw('ABCDE12345')
+        s.linefeed(), s.carriage_return()
+        s.draw('678')
+        s.linefeed(), s.carriage_return()
+        s.draw(('X' * s.columns) * (s.lines-2))
+        multi_click(x=1, y=1, count=3)
+        self.ae(sel(), '678')
+        press(x=2, button=GLFW_MOUSE_BUTTON_RIGHT)
+        release(x=2, button=GLFW_MOUSE_BUTTON_RIGHT)
+        self.ae(sel(), 'ABCDE12345\n678')
+
         # Rectangle select
         init()
         press(x=1, y=1, modifiers=GLFW_MOD_ALT | GLFW_MOD_CONTROL)