diff --git a/src/CMakeLists.txt b/src/CMakeLists.txt
index 86dd091240..a949180c97 100644
--- a/src/CMakeLists.txt
+++ b/src/CMakeLists.txt
@@ -310,6 +310,12 @@ if(${TINT_BUILD_SPV_PARSER})
   target_link_libraries(libtint SPIRV-Tools-opt SPIRV-Tools)
 endif()
 
+if(${TINT_BUILD_SPV_PARSER})
+  list (APPEND TINT_TEST_SRCS
+    reader/spv/parser_test.cc
+  )
+endif()
+
 add_executable(tint_unittests ${TINT_TEST_SRCS})
 if (NOT MSVC)
   target_compile_options(tint_unittests PRIVATE
diff --git a/src/reader/spv/parser_test.cc b/src/reader/spv/parser_test.cc
new file mode 100644
index 0000000000..c32a20c541
--- /dev/null
+++ b/src/reader/spv/parser_test.cc
@@ -0,0 +1,41 @@
+// Copyright 2020 The Tint Authors.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#include "src/reader/spv/parser.h"
+
+#include <stdint.h>
+
+#include <vector>
+
+#include "gtest/gtest.h"
+
+namespace tint {
+namespace reader {
+namespace spv {
+
+using ParserTest = testing::Test;
+
+TEST_F(ParserTest, Uint32VecEmpty) {
+  std::vector<uint32_t> data;
+  Parser p{data};
+  EXPECT_FALSE(p.Parse());
+  // TODO(dneto): What message?
+}
+
+// TODO(dneto): uint32 vec, valid SPIR-V
+// TODO(dneto): uint32 vec, invalid SPIR-V
+
+}  // namespace spv
+}  // namespace reader
+}  // namespace tint