diff --git a/commands.c b/commands.c
index 01ad4e1e..e7dafdfc 100644
--- a/commands.c
+++ b/commands.c
@@ -7,6 +7,7 @@
 #include "render.h"
 #include "selection.h"
 #include "terminal.h"
+#include "url-mode.h"
 #include "util.h"
 
 void
@@ -14,6 +15,8 @@ cmd_scrollback_up(struct terminal *term, int rows)
 {
     if (term->grid == &term->alt)
         return;
+    if (urls_mode_is_active(term))
+        return;
 
     if (term->mouse_tracking != MOUSE_NONE)
         return;
@@ -92,6 +95,8 @@ cmd_scrollback_down(struct terminal *term, int rows)
 {
     if (term->grid == &term->alt)
         return;
+    if (urls_mode_is_active(term))
+        return;
 
     if (term->mouse_tracking != MOUSE_NONE)
         return;
diff --git a/grid.c b/grid.c
index 21cad71f..f1391bfa 100644
--- a/grid.c
+++ b/grid.c
@@ -8,9 +8,109 @@
 #include "debug.h"
 #include "macros.h"
 #include "sixel.h"
+#include "stride.h"
 #include "util.h"
 #include "xmalloc.h"
 
+struct grid *
+grid_snapshot(const struct grid *grid)
+{
+    struct grid *clone = xmalloc(sizeof(*clone));
+    clone->num_rows = grid->num_rows;
+    clone->num_cols = grid->num_cols;
+    clone->offset = grid->offset;
+    clone->view = grid->view;
+    clone->cursor = grid->cursor;
+    clone->rows = xcalloc(grid->num_rows, sizeof(clone->rows[0]));
+    memset(&clone->scroll_damage, 0, sizeof(clone->scroll_damage));
+    memset(&clone->sixel_images, 0, sizeof(clone->sixel_images));
+
+    tll_foreach(grid->scroll_damage, it)
+        tll_push_back(clone->scroll_damage, it->item);
+
+    for (int r = 0; r < grid->num_rows; r++) {
+        const struct row *row = grid->rows[r];
+
+        if (row == NULL)
+            continue;
+
+        struct row *clone_row = xmalloc(sizeof(*row));
+        clone->rows[r] = clone_row;
+
+        clone_row->cells = xmalloc(grid->num_cols * sizeof(clone_row->cells[0]));
+        clone_row->linebreak = row->linebreak;
+        clone_row->dirty = row->dirty;;
+
+        for (int c = 0; c < grid->num_cols; c++) {
+            clone_row->cells[c] = row->cells[c];
+            clone_row->cells[c].attrs.clean = 0;
+        }
+
+        if (row->extra != NULL) {
+            const struct row_data *extra = row->extra;
+            struct row_data *new_extra = xcalloc(1, sizeof(*new_extra));
+
+            tll_foreach(extra->uri_ranges, it) {
+                struct row_uri_range range = {
+                    .start = it->item.start,
+                    .end = it->item.end,
+                    .id = it->item.id,
+                    .uri = xstrdup(it->item.uri),
+                };
+
+                tll_push_back(new_extra->uri_ranges, range);
+            }
+
+            clone_row->extra = new_extra;
+        } else
+            clone_row->extra = NULL;
+    }
+
+    tll_foreach(grid->sixel_images, it) {
+        int width = it->item.width;
+        int height = it->item.height;
+        pixman_image_t *pix = it->item.pix;
+        pixman_format_code_t pix_fmt = pixman_image_get_format(pix);
+        int stride = stride_for_format_and_width(pix_fmt, width);
+
+        size_t size = stride * height;
+        void *new_data = xmalloc(size);
+        memcpy(new_data, it->item.data, size);
+
+        pixman_image_t *new_pix = pixman_image_create_bits_no_clear(
+            pix_fmt, width, height, new_data, stride);
+
+        struct sixel six = {
+            .data = new_data,
+            .pix = new_pix,
+            .width = width,
+            .height = height,
+            .rows = it->item.rows,
+            .cols = it->item.cols,
+            .pos = it->item.pos,
+        };
+
+        tll_push_back(clone->sixel_images, six);
+    }
+
+    return clone;
+}
+
+void
+grid_free(struct grid *grid)
+{
+    for (int r = 0; r < grid->num_rows; r++)
+        grid_row_free(grid->rows[r]);
+
+    tll_foreach(grid->sixel_images, it) {
+        sixel_destroy(&it->item);
+        tll_remove(grid->sixel_images, it);
+    }
+
+    free(grid->rows);
+    tll_free(grid->scroll_damage);
+}
+
 void
 grid_swap_row(struct grid *grid, int row_a, int row_b)
 {
diff --git a/grid.h b/grid.h
index 4cb339f2..1131ac46 100644
--- a/grid.h
+++ b/grid.h
@@ -4,6 +4,9 @@
 #include "debug.h"
 #include "terminal.h"
 
+struct grid *grid_snapshot(const struct grid *grid);
+void grid_free(struct grid *grid);
+
 void grid_swap_row(struct grid *grid, int row_a, int row_b);
 struct row *grid_row_alloc(int cols, bool initialize);
 void grid_row_free(struct row *row);
diff --git a/render.c b/render.c
index 1db813bc..aa172284 100644
--- a/render.c
+++ b/render.c
@@ -2675,6 +2675,12 @@ frame_callback(void *data, struct wl_callback *wl_callback, uint32_t callback_da
     term->render.pending.title = false;
     term->render.pending.urls = false;
 
+    struct grid *original_grid = term->grid;
+    if (urls_mode_is_active(term)) {
+        xassert(term->url_grid_snapshot != NULL);
+        term->grid = term->url_grid_snapshot;
+    }
+
     if (csd && term->window->use_csd == CSD_YES) {
         quirk_weston_csd_on(term);
         render_csd(term);
@@ -2697,6 +2703,8 @@ frame_callback(void *data, struct wl_callback *wl_callback, uint32_t callback_da
         if (it->item.kbd_focus == term)
             ime_update_cursor_rect(&it->item, term);
     }
+
+    term->grid = original_grid;
 }
 
 static void
@@ -3127,6 +3135,12 @@ fdm_hook_refresh_pending_terminals(struct fdm *fdm, void *data)
         term->render.refresh.urls = false;
 
         if (term->window->frame_callback == NULL) {
+            struct grid *original_grid = term->grid;
+            if (urls_mode_is_active(term)) {
+                xassert(term->url_grid_snapshot != NULL);
+                term->grid = term->url_grid_snapshot;
+            }
+
             if (csd && term->window->use_csd == CSD_YES) {
                 quirk_weston_csd_on(term);
                 render_csd(term);
@@ -3145,6 +3159,8 @@ fdm_hook_refresh_pending_terminals(struct fdm *fdm, void *data)
                 if (it->item.kbd_focus == term)
                     ime_update_cursor_rect(&it->item, term);
             }
+
+            term->grid = original_grid;
         } else {
             /* Tells the frame callback to render again */
             term->render.pending.grid |= grid;
diff --git a/terminal.c b/terminal.c
index 18d5a947..dc210fbc 100644
--- a/terminal.c
+++ b/terminal.c
@@ -227,8 +227,6 @@ fdm_ptmx(struct fdm *fdm, int fd, int events, void *data)
         cursor_blink_rearm_timer(term);
     }
 
-    urls_reset(term);
-
     uint8_t buf[24 * 1024];
     ssize_t count = sizeof(buf);
 
@@ -1437,15 +1435,8 @@ term_destroy(struct terminal *term)
     mtx_unlock(&term->render.workers.lock);
 
     free(term->vt.osc.data);
-    for (int row = 0; row < term->normal.num_rows; row++)
-        grid_row_free(term->normal.rows[row]);
-    free(term->normal.rows);
-    for (int row = 0; row < term->alt.num_rows; row++)
-        grid_row_free(term->alt.rows[row]);
-    free(term->alt.rows);
-
-    tll_free(term->normal.scroll_damage);
-    tll_free(term->alt.scroll_damage);
+    grid_free(&term->normal);
+    grid_free(&term->alt);
 
     free(term->composed);
 
@@ -1490,14 +1481,6 @@ term_destroy(struct terminal *term)
         tll_remove(term->ptmx_paste_buffers, it);
     }
 
-    tll_foreach(term->normal.sixel_images, it) {
-        sixel_destroy(&it->item);
-        tll_remove(term->normal.sixel_images, it);
-    }
-    tll_foreach(term->alt.sixel_images, it) {
-        sixel_destroy(&it->item);
-        tll_remove(term->alt.sixel_images, it);
-    }
     sixel_fini(term);
 
     urls_reset(term);
diff --git a/terminal.h b/terminal.h
index b1b7c391..2a6ae0b1 100644
--- a/terminal.h
+++ b/terminal.h
@@ -547,9 +547,11 @@ struct terminal {
         unsigned max_height;    /* Maximum image height, in pixels */
     } sixel;
 
+    /* TODO: wrap in a struct */
     url_list_t urls;
     wchar_t url_keys[5];
     bool urls_show_uri_on_jump_label;
+    struct grid *url_grid_snapshot;
 
 #if defined(FOOT_IME_ENABLED) && FOOT_IME_ENABLED
     struct {
diff --git a/url-mode.c b/url-mode.c
index cea099e9..791b4ce0 100644
--- a/url-mode.c
+++ b/url-mode.c
@@ -637,6 +637,28 @@ urls_render(struct terminal *term)
         tag_cells_for_url(term, &it->item, true);
     }
 
+    /* Dirty the last cursor, to ensure it is erased */
+    {
+        struct row *cursor_row = term->render.last_cursor.row;
+        if (cursor_row != NULL) {
+            struct cell *cell = &cursor_row->cells[term->render.last_cursor.col];
+            cell->attrs.clean = 0;
+            cursor_row->dirty = true;
+        }
+    }
+    term->render.last_cursor.row = NULL;
+
+    /* Clear scroll damage, to ensure we don’t apply it twice (once on
+     * the snapshot:ed grid, and then later again on the real grid) */
+    tll_free(term->grid->scroll_damage);
+
+    /* Damage the entire view, to ensure a full screen redraw, both
+     * now, when entering URL mode, and later, when exiting it. */
+    term_damage_view(term);
+
+    /* Snapshot the current grid */
+    term->url_grid_snapshot = grid_snapshot(term->grid);
+
     render_refresh_urls(term);
     render_refresh(term);
 }
@@ -651,8 +673,24 @@ url_destroy(struct url *url)
 void
 urls_reset(struct terminal *term)
 {
-    if (likely(tll_length(term->urls) == 0))
+    if (likely(tll_length(term->urls) == 0)) {
+        xassert(term->url_grid_snapshot == NULL);
         return;
+    }
+
+    grid_free(term->url_grid_snapshot);
+    free(term->url_grid_snapshot);
+    term->url_grid_snapshot = NULL;
+
+    /*
+     * Make sure “last cursor” doesn’t point to a row in the just
+     * free:d snapshot grid.
+     *
+     * Note that it will still be erased properly (if hasn’t already),
+     * since we marked the cell as dirty *before* taking the grid
+     * snapshot.
+     */
+    term->render.last_cursor.row = NULL;
 
     if (term->window != NULL) {
         tll_foreach(term->window->urls, it) {
@@ -669,5 +707,6 @@ urls_reset(struct terminal *term)
 
     term->urls_show_uri_on_jump_label = false;
     memset(term->url_keys, 0, sizeof(term->url_keys));
+
     render_refresh(term);
 }