diff --git a/docker/build_scripts/build-sqlite3.sh b/docker/build_scripts/build-sqlite3.sh
index 3f187a579..7aff08867 100755
--- a/docker/build_scripts/build-sqlite3.sh
+++ b/docker/build_scripts/build-sqlite3.sh
@@ -23,7 +23,7 @@ tar xfz "${SQLITE_AUTOCONF_ROOT}.tar.gz"
 pushd "${SQLITE_AUTOCONF_ROOT}"
 # add rpath
 sed -i "s|^Libs:|Libs: -Wl,--enable-new-dtags,-rpath=\${libdir} |g" sqlite3.pc.in
-DESTDIR=/manylinux-rootfs do_standard_install --prefix=${PREFIX}
+DESTDIR=/manylinux-rootfs do_standard_install --prefix=${PREFIX} --enable-all
 popd
 rm -rf "${SQLITE_AUTOCONF_ROOT}" "${SQLITE_AUTOCONF_ROOT}.tar.gz"
 
diff --git a/docker/tests/modules-check.py b/docker/tests/modules-check.py
index e98458309..ee66aee3d 100644
--- a/docker/tests/modules-check.py
+++ b/docker/tests/modules-check.py
@@ -10,6 +10,11 @@ def test_sqlite3(self):
         print(f"{sqlite3.sqlite_version=}", end=" ", flush=True)
         assert sqlite3.sqlite_version_info[0:2] >= (3, 50)
 
+        # When the extension is not installed, it raises:
+        # sqlite3.OperationalError: no such module: fts5
+        conn = sqlite3.connect(":memory:")
+        conn.execute("create virtual table fts5test using fts5 (data);")
+
     def test_tkinter(self):
         # Make sure tkinter module can be loaded properly
         import tkinter as tk