diff --git a/tests/fate/jxl.mak b/tests/fate/jxl.mak
index 057d3be0e1..d653eb644a 100644
--- a/tests/fate/jxl.mak
+++ b/tests/fate/jxl.mak
@@ -14,3 +14,11 @@ FATE_JPEGXL_ANIM_DEMUX += $(FATE_JPEGXL_ANIM_DEMUX-yes)
 
 FATE_SAMPLES_FFMPEG-$(call FRAMECRC, JPEGXL_ANIM) += $(FATE_JPEGXL_ANIM_DEMUX)
 fate-jxl-anim-demux: $(FATE_JPEGXL_ANIM_DEMUX)
+
+# parser tests
+FATE_JPEGXL_PARSE += fate-jxl-small-ext-box
+fate-jxl-small-ext-box: CMD = framecrc -i $(TARGET_SAMPLES)/jxl/l.jxl -c copy
+
+FATE_JPEGXL_PARSE += $(FATE_JPEGXL_PARSE-yes)
+FATE_SAMPLES_FFMPEG-$(call FRAMECRC, IMAGE_JPEGXL_PIPE, , JPEGXL_PARSER) += $(FATE_JPEGXL_PARSE)
+fate-jxl-parse: $(FATE_JPEGXL_PARSE)
diff --git a/tests/ref/fate/jxl-small-ext-box b/tests/ref/fate/jxl-small-ext-box
new file mode 100644
index 0000000000..0f9adfe075
--- /dev/null
+++ b/tests/ref/fate/jxl-small-ext-box
@@ -0,0 +1,9 @@
+#tb 0: 1/25
+#media_type 0: video
+#codec_id 0: jpegxl
+#dimensions 0: 8x8
+#sar 0: 0/1
+0,          0,          0,        1,      104, 0xd12d1d10
+0,          1,          1,        1,      104, 0xd12d1d10
+0,          2,          2,        1,      104, 0xd12d1d10
+0,          3,          3,        1,      104, 0xd12d1d10