--- a/src/testdir/test_signals.vim
+++ b/src/testdir/test_signals.vim
@@ -105,6 +105,58 @@ func Test_signal_INT()
   call StopVimInTerminal(buf)
 endfunc
 
+" Test signal TSTP. Handler sets got_tstp.
+func Test_signal_TSTP()
+  CheckRunVimInTerminal
+  if !HasSignal('TSTP')
+    throw 'Skipped: TSTP signal not supported'
+  endif
+
+  " Skip the test when running with valgrind as signal TSTP is not received
+  " somehow by Vim when running with valgrind.
+  let cmd = GetVimCommand()
+  if cmd =~ 'valgrind'
+    throw 'Skipped: cannot test signal TSTP with valgrind'
+  endif
+
+  " If test fails once, it can leave temporary files and trying to rerun
+  " the test would then fail again if they are not deleted first.
+  call delete('.Xsig_TERM.swp')
+  call delete('XsetupAucmd')
+  call delete('XautoOut')
+  let lines =<< trim END
+    au VimSuspend * call writefile(["VimSuspend triggered"], "XautoOut", "as")
+    au VimResume * call writefile(["VimResume triggered"], "XautoOut", "as")
+  END
+  call writefile(lines, 'XsetupAucmd')
+
+  let buf = RunVimInTerminal('-S XsetupAucmd Xsig_TERM', {'rows': 6})
+  let pid_vim = term_getjob(buf)->job_info().process
+
+  call term_sendkeys(buf, ":call setline(1, 'foo')\n")
+  call WaitForAssert({-> assert_equal('foo', term_getline(buf, 1))})
+
+  call assert_false(filereadable('Xsig_TERM'))
+
+  " After TSTP the file is not saved (same function as ^Z)
+  exe 'silent !kill -s TSTP ' .. pid_vim
+  call WaitForAssert({-> assert_true(filereadable('.Xsig_TERM.swp'))})
+
+  " We resume after the suspend
+  exe 'silent !kill -s CONT ' .. pid_vim
+  exe 'silent !sleep 0.006'
+
+  call StopVimInTerminal(buf)
+
+  let result = readfile('XautoOut')
+  call assert_equal(["VimSuspend triggered", "VimResume triggered"], result)
+
+  %bwipe!
+  call delete('.Xsig_TERM.swp')
+  call delete('XsetupAucmd')
+  call delete('XautoOut')
+endfunc
+
 " Test a deadly signal.
 "
 " There are several deadly signals: SISEGV, SIBUS, SIGTERM...