diff --git a/ci/edmtool.py b/ci/edmtool.py
index dbd6def08..cff3aa05a 100644
--- a/ci/edmtool.py
+++ b/ci/edmtool.py
@@ -97,17 +97,15 @@
     "hypothesis",
     "kiwisolver",
     "numpy",
+    "pillow",
+    "pyface",
     "pygments",
     "pyparsing",
-    "pillow",
+    "pypdf2",
     "reportlab",
     "swig",
     "traits",
     "traitsui",
-    "pyface",
-    "pypdf2",
-    "swig",
-    "unittest2",
 }
 
 # Dependencies we install from source for cron tests
diff --git a/setup.py b/setup.py
index 13ca829f8..f43940c66 100644
--- a/setup.py
+++ b/setup.py
@@ -428,7 +428,31 @@ def macos_extensions():
     ]
 
 
+def verify_swig_version():
+    """ Verify we are using swiig version 3.0.x.
+    """
+    msg = ("SWIG is a required build dependency of Enable. Furthermore, there "
+           "is currently a known issue with SWIG 4.0, "
+           "see enthought/enable#360. Please install SWIG 3.0.x "
+           "(see http://www.swig.org/).")
+    try:
+        cmd = ["swig", "-version"]
+        opts = {"stdout": subprocess.PIPE, "encoding": "utf-8"}
+        with subprocess.Popen(cmd, **opts) as proc:
+            # We expect text along the lines of "SWIG Version 3.X.Y"
+            swig_version_match = re.search(
+                r"(SWIG Version 3)\.\d{1,2}\.\d{1,2}",
+                proc.stdout.read()
+            )
+            if swig_version_match is None:
+                raise Exception(msg)
+    except FileNotFoundError:
+        raise Exception(msg)
+
+
 if __name__ == "__main__":
+    verify_swig_version()
+
     # Write version modules as needed
     enable_version_path = os.path.join('enable', '_version.py')
     write_version_py(filename=enable_version_path)