diff --git a/shell-integration/bash/kitty.bash b/shell-integration/bash/kitty.bash
index 6b0374a6a..2d65d704d 100644
--- a/shell-integration/bash/kitty.bash
+++ b/shell-integration/bash/kitty.bash
@@ -85,7 +85,7 @@ if [ "${BASH_VERSINFO:-0}" -lt 4 ]; then
     builtin return
 fi
 
-if [[ "${_ksi_prompt[sourced]}" == "y" ]]; then
+if [ -v "_ksi_prompt[sourced]" ]; then
     # we have already run
     builtin unset KITTY_SHELL_INTEGRATION
     builtin return
@@ -318,7 +318,7 @@ _ksi_main() {
         builtin local venv="${VIRTUAL_ENV}/bin/activate"
         builtin local sourced=""
         _ksi_s_is_ok() {
-            [[ -z "${sourced:-}" && "$KITTY_CLONE_SOURCE_STRATEGIES" == *",$1,"* ]] && builtin return 0
+            [[ -z "$sourced" && "$KITTY_CLONE_SOURCE_STRATEGIES" == *",$1,"* ]] && builtin return 0
             builtin return 1
         }