diff --git a/encoding/jsonschema/testdata/constarray.txtar b/encoding/jsonschema/testdata/constarray.txtar
new file mode 100644
index 00000000000..31538a9ca88
--- /dev/null
+++ b/encoding/jsonschema/testdata/constarray.txtar
@@ -0,0 +1,10 @@
+-- type.json --
+{
+    "type": "array",
+    "const": [
+        1
+    ]
+}
+
+-- out/decode/cue --
+[1]
diff --git a/encoding/jsonschema/testdata/constobj.txtar b/encoding/jsonschema/testdata/constobj.txtar
new file mode 100644
index 00000000000..008c30101c1
--- /dev/null
+++ b/encoding/jsonschema/testdata/constobj.txtar
@@ -0,0 +1,10 @@
+
+-- type.json --
+{
+    "type": "object",
+    "const": {"a": 1}
+}
+
+-- out/decode/cue --
+a: 1
+...