diff --git a/var/spack/repos/builtin/packages/vc/package.py b/var/spack/repos/builtin/packages/vc/package.py
index 6e44beb40f4238..3f146372b99852 100644
--- a/var/spack/repos/builtin/packages/vc/package.py
+++ b/var/spack/repos/builtin/packages/vc/package.py
@@ -10,32 +10,35 @@ class Vc(CMakePackage):
     """SIMD Vector Classes for C++"""
 
     homepage = "https://github.com/VcDevel/Vc"
-    url = "https://github.com/VcDevel/Vc/archive/1.3.0.tar.gz"
+    git = "https://github.com/VcDevel/Vc.git"
+    url = "https://github.com/VcDevel/Vc/archive/refs/tags/1.3.3.tar.gz"
 
     version("1.4.2", sha256="50d3f151e40b0718666935aa71d299d6370fafa67411f0a9e249fbce3e6e3952")
     version("1.4.1", sha256="7e8b57ed5ff9eb0835636203898c21302733973ff8eaede5134dd7cb87f915f6")
+    version("1.3.3", sha256="32f1bdd4046a90907a2b63ee39d72ad0e6d0608937f8202d759d7fa0eddd1ec1")
     version("1.3.0", sha256="2309a19eea136e1f9d5629305b2686e226093e23fe5b27de3d6e3d6084991c3a")
     version("1.2.0", sha256="9cd7b6363bf40a89e8b1d2b39044b44a4ce3f1fd6672ef3fc45004198ba28a2b")
     version("1.1.0", sha256="281b4c6152fbda11a4b313a0a0ca18565ee049a86f35f672f1383967fef8f501")
 
-    variant(
-        "build_type",
-        default="RelWithDebInfo",
-        description="The build type to build",
-        values=("Debug", "Release", "RelWithDebug", "RelWithDebInfo", "MinSizeRel"),
-    )
-
-    # Build fails without it when --test is used, can't be type='test':
-    depends_on("virtest")
-
-    def patch(self):
-        tests = FileFilter("tests/CMakeLists.txt")
-        tests.filter(";AVX2", "")
-        tests.filter(".*logarithm.*", "")
-        tests.filter(".*trigonometric.*", "")
-
-    def cmake_args(self):
-        if self.run_tests:
-            return ["-DBUILD_TESTING=ON"]
-        else:
-            return ["-DBUILD_TESTING=OFF"]
+    @run_before("cmake")
+    def fetch_additional_sources(self):
+        """Starting from 1.4:, the test suite requires both the virtest framework
+        and some test data. Both are intended to be set up as git submodules,
+        but due to the size of the test data (around 300MB), it is more efficient
+        to set those up only as needed.
+        """
+        if self.run_tests and self.spec.satisfies("@1.4.0:"):
+            git = which("git")
+            with working_dir(join_path(self.stage.source_path, "tests/testdata")):
+                git("clone", "--filter=tree:0", "https://github.com/VcDevel/vc-testdata", ".")
+                # NOTE to maintainers: when adding new versions,
+                # check if the commit hash changed:
+                # https://github.com/VcDevel/Vc/tree/1.4/tests
+                git("fetch", "origin", "9ada1f34d6a41f1b5553d6223f277eae72c039d3")
+                git("checkout", "9ada1f34d6a41f1b5553d6223f277eae72c039d3")
+            with working_dir(join_path(self.stage.source_path, "tests/virtest")):
+                git("clone", "https://github.com/mattkretz/virtest/", ".")
+                # NOTE to maintainers: when adding new versions,
+                # check if the commit hash changed:
+                # https://github.com/VcDevel/Vc/tree/1.4/tests
+                git("checkout", "f7d03ef39fceba168745bd29e1b20af6e7971e04")
diff --git a/var/spack/repos/builtin/packages/virtest/package.py b/var/spack/repos/builtin/packages/virtest/package.py
deleted file mode 100644
index 960a07b2be5a58..00000000000000
--- a/var/spack/repos/builtin/packages/virtest/package.py
+++ /dev/null
@@ -1,33 +0,0 @@
-# Copyright 2013-2023 Lawrence Livermore National Security, LLC and other
-# Spack Project Developers. See the top-level COPYRIGHT file for details.
-#
-# SPDX-License-Identifier: (Apache-2.0 OR MIT)
-
-import os
-
-from spack.package import *
-
-
-class Virtest(CMakePackage):
-    """Header-only unit test framework, as easy as possible to use"""
-
-    homepage = "https://github.com/mattkretz/virtest"
-    git = "https://github.com/mattkretz/virtest.git"
-    maintainers("bernhardkaindl")
-
-    version("master", branch="master")
-
-    def patch(self):
-        script = FileFilter("tests/CMakeLists.txt")
-        script.filter(
-            r" *\${CMAKE_CTEST_COMMAND} -V -R \${target}",
-            '${CMAKE_CTEST_COMMAND} -V -R "^${target}$"',
-        )
-
-    def setup_run_environment(self, env):
-        env.prepend_path("CPATH", self.prefix.include.vir)
-
-    @run_after("install")
-    def rename_include_for_vc_package(self):
-        with working_dir(self.prefix.include):
-            os.rename("vir", "virtest")