diff --git a/configure.ac b/configure.ac
index 645082c9746..bc7e61048c3 100644
--- a/configure.ac
+++ b/configure.ac
@@ -3613,8 +3613,12 @@ XWIDGETS_OBJ=
 if test "$with_xwidgets" != "no"; then
   if test "$USE_GTK_TOOLKIT" = "GTK3" && test "$window_system" != "none"; then
     WEBKIT_REQUIRED=2.12
-    WEBKIT_MODULES="webkit2gtk-4.0 >= $WEBKIT_REQUIRED"
+    WEBKIT_MODULES="webkit2gtk-4.1 >= $WEBKIT_REQUIRED"
     EMACS_CHECK_MODULES([WEBKIT], [$WEBKIT_MODULES])
+    if test "$HAVE_WEBKIT" = "no"; then
+      WEBKIT_MODULES="webkit2gtk-4.0 >= $WEBKIT_REQUIRED"
+      EMACS_CHECK_MODULES([WEBKIT], [$WEBKIT_MODULES])
+    fi
     HAVE_XWIDGETS=$HAVE_WEBKIT
     XWIDGETS_OBJ="xwidget.o"
     if test "$HAVE_X_WINDOWS" = "yes" && test "${with_cairo}" = "no"; then