diff --git a/lib/moduleEnv.js b/lib/moduleEnv.js
index 3b05bca..e5bb2e8 100644
--- a/lib/moduleEnv.js
+++ b/lib/moduleEnv.js
@@ -43,6 +43,8 @@ var moduleWrapper0 = Module.wrapper[0],
     // errors anyway, it's probably still a reasonable trade-off.
     // Test the regular expresssion at https://regex101.com/r/dvnZPv/2 and also check out testLib/constModule.js.
     matchConst = /(^|\s|\}|;)const(\/\*|\s|{)/gm,
+    // Required for importing modules with shebang declarations, since NodeJS 12.16.0
+    shebang = /^(#!).+/,
     nodeRequire,
     currentModule;
 
@@ -123,7 +125,9 @@ function jsExtension(module, filename) {
 
         _compile.call(
             module,
-            content.replace(matchConst, "$1let  $2"), // replace const with let, while maintaining the column width
+            content
+                .replace(shebang, '') // Remove shebang declarations
+                .replace(matchConst, "$1let  $2"), // replace const with let, while maintaining the column width
             filename
         );
     };
diff --git a/testLib/sharedTestCases.js b/testLib/sharedTestCases.js
index a4158d9..803f59e 100644
--- a/testLib/sharedTestCases.js
+++ b/testLib/sharedTestCases.js
@@ -408,4 +408,9 @@ module.exports = function () {
         }).to.throwException(/^Assignment to constant variable at .+?wrongConstModule\.js:4:1$/);
     });
 
+    it("should be possible to rewire shebang modules", function () {
+        expect(function () {
+            rewire("./shebangModule");
+        }).to.not.throwError();
+    });
 };
diff --git a/testLib/shebangModule.js b/testLib/shebangModule.js
new file mode 100644
index 0000000..da6ac74
--- /dev/null
+++ b/testLib/shebangModule.js
@@ -0,0 +1,7 @@
+#!/usr/bin/env node
+
+function shebangs() {
+    return true;
+}
+
+module.exports.shebangs = shebangs;