diff --git a/src/move.c b/src/move.c
index e79ed72..77f5cb9 100644
--- a/src/move.c
+++ b/src/move.c
@@ -2171,6 +2171,7 @@
 {
     int		used;
     int		scrolled = 0;
+    int		min_scrolled = 1;
     int		extra = 0;
     int		i;
     linenr_T	line_count;
@@ -2236,6 +2237,10 @@
 	scrolled = used;
 	if (cln == curwin->w_botline)
 	    scrolled -= curwin->w_empty_rows;
+	min_scrolled = scrolled;
+	if (cln > curwin->w_botline && curwin->w_p_sms && curwin->w_p_wrap)
+	    for (linenr_T lnum = curwin->w_botline + 1; lnum <= cln; ++lnum)
+		min_scrolled += plines_nofill(lnum);
     }
 
     /*
@@ -2361,7 +2366,12 @@
     if (line_count >= curwin->w_height && line_count > min_scroll)
 	scroll_cursor_halfway(FALSE);
     else
+    {
+	// With 'smoothscroll' scroll at least the height of the cursor line.
+	if (curwin->w_p_wrap && curwin->w_p_sms && line_count < min_scrolled)
+	    line_count = min_scrolled;
 	scrollup(line_count, TRUE);
+    }
 
     /*
      * If topline didn't change we need to restore w_botline and w_empty_rows
diff --git a/src/testdir/dumps/Test_smooth_wrap_1.dump b/src/testdir/dumps/Test_smooth_wrap_1.dump
new file mode 100644
index 0000000..0b52d40
--- /dev/null
+++ b/src/testdir/dumps/Test_smooth_wrap_1.dump
@@ -0,0 +1,8 @@
+|<+0#4040ff13#ffffff0@2|h+0#0000000&| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| @10
+|L|i|n|e| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| 
+|s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| 
+|w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| @10
+>L|i|n|e| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| 
+|s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| 
+|w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| @10
+@22|3|,|1| @10|T|o|p| 
diff --git a/src/testdir/dumps/Test_smooth_wrap_2.dump b/src/testdir/dumps/Test_smooth_wrap_2.dump
new file mode 100644
index 0000000..65a357d
--- /dev/null
+++ b/src/testdir/dumps/Test_smooth_wrap_2.dump
@@ -0,0 +1,8 @@
+|<+0#4040ff13#ffffff0@2|h+0#0000000&| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| @10
+|L|i|n|e| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| 
+|s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| 
+|w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| @10
+>L|i|n|e| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| 
+|s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| 
+|w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| @10
+@22|4|,|1| @10|2|5|%| 
diff --git a/src/testdir/dumps/Test_smooth_wrap_3.dump b/src/testdir/dumps/Test_smooth_wrap_3.dump
new file mode 100644
index 0000000..4bf5130
--- /dev/null
+++ b/src/testdir/dumps/Test_smooth_wrap_3.dump
@@ -0,0 +1,8 @@
+|<+0#4040ff13#ffffff0@2|h+0#0000000&| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| @10
+|L|i|n|e| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| 
+|s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| 
+|w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| @10
+>L|i|n|e| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| 
+|s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| 
+|w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| @10
+@22|5|,|1| @10|5|0|%| 
diff --git a/src/testdir/dumps/Test_smooth_wrap_4.dump b/src/testdir/dumps/Test_smooth_wrap_4.dump
new file mode 100644
index 0000000..c23f494
--- /dev/null
+++ b/src/testdir/dumps/Test_smooth_wrap_4.dump
@@ -0,0 +1,8 @@
+|<+0#4040ff13#ffffff0@2|h+0#0000000&| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| @10
+|L|i|n|e| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| 
+|s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| 
+|w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| @10
+>L|i|n|e| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| 
+|s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| 
+|w|i|t|h| |s|o|m|e| |t|e|x|t| |w|i|t|h| |s|o|m|e| |t|e|x|t| @10
+@22|7|,|1| @10|B|o|t| 
diff --git a/src/testdir/test_scroll_opt.vim b/src/testdir/test_scroll_opt.vim
index b114fe3..d11d0be 100644
--- a/src/testdir/test_scroll_opt.vim
+++ b/src/testdir/test_scroll_opt.vim
@@ -167,6 +167,31 @@
   call StopVimInTerminal(buf)
 endfunc
 
+func Test_smoothscroll_wrap_scrolloff_zero()
+  CheckScreendump
+
+  let lines =<< trim END
+      vim9script
+      setline(1, ['Line' .. (' with some text'->repeat(7))]->repeat(7))
+      set smoothscroll scrolloff=0
+      :3
+  END
+  call writefile(lines, 'XSmoothWrap', 'D')
+  let buf = RunVimInTerminal('-S XSmoothWrap', #{rows: 8, cols: 40})
+
+  call VerifyScreenDump(buf, 'Test_smooth_wrap_1', {})
+
+  call term_sendkeys(buf, "j")
+  call VerifyScreenDump(buf, 'Test_smooth_wrap_2', {})
+
+  call term_sendkeys(buf, "\<C-E>j")
+  call VerifyScreenDump(buf, 'Test_smooth_wrap_3', {})
+
+  call term_sendkeys(buf, "G")
+  call VerifyScreenDump(buf, 'Test_smooth_wrap_4', {})
+
+  call StopVimInTerminal(buf)
+endfunc
 
 
 " vim: shiftwidth=2 sts=2 expandtab
diff --git a/src/version.c b/src/version.c
index 5ddf40b..4d8b40f 100644
--- a/src/version.c
+++ b/src/version.c
@@ -700,6 +700,8 @@
 static int included_patches[] =
 {   /* Add new patch number below this line */
 /**/
+    672,
+/**/
     671,
 /**/
     670,