diff --git a/invoke/loader.py b/invoke/loader.py
index 801d16333..d6226f035 100644
--- a/invoke/loader.py
+++ b/invoke/loader.py
@@ -105,6 +105,8 @@ class FilesystemLoader(Loader):
     .. versionadded:: 1.0
     """
 
+    POSSIBLE_SUFFIXES = (".py", ".pyc", ".so", ".dll", ".dylib")
+
     # TODO: could introduce config obj here for transmission to Collection
     # TODO: otherwise Loader has to know about specific bits to transmit, such
     # as auto-dashes, and has to grow one of those for every bit Collection
@@ -120,33 +122,44 @@ def start(self) -> str:
         # Lazily determine default CWD if configured value is falsey
         return self._start or os.getcwd()
 
+    @classmethod
+    def _is_package(cls, path: str) -> bool:
+        for suffix in cls.POSSIBLE_SUFFIXES:
+            if os.path.exists(os.path.join(path, "__init__" + suffix)):
+                return True
+        return False
+
     def find(self, name: str) -> Optional[ModuleSpec]:
         debug("FilesystemLoader find starting at {!r}".format(self.start))
         spec = None
-        module = "{}.py".format(name)
+        modules = [
+            "{}{}".format(name, suffix) for suffix in self.POSSIBLE_SUFFIXES
+        ]
         paths = self.start.split(os.sep)
         try:
             # walk the path upwards to check for dynamic import
             for x in reversed(range(len(paths) + 1)):
                 path = os.sep.join(paths[0:x])
-                if module in os.listdir(path):
-                    spec = spec_from_file_location(
-                        name, os.path.join(path, module)
-                    )
-                    break
-                elif name in os.listdir(path) and os.path.exists(
-                    os.path.join(path, name, "__init__.py")
-                ):
-                    basepath = os.path.join(path, name)
-                    spec = spec_from_file_location(
-                        name,
-                        os.path.join(basepath, "__init__.py"),
-                        submodule_search_locations=[basepath],
-                    )
-                    break
-            if spec:
-                debug("Found module: {!r}".format(spec))
-                return spec
+                possible_modules = os.listdir(path)
+                for module in modules:
+                    if module in possible_modules:
+                        spec = spec_from_file_location(
+                            name, os.path.join(path, module)
+                        )
+                        break
+                    elif name in possible_modules and self._is_package(
+                        os.path.join(path, name)
+                    ):
+                        basepath = os.path.join(path, name)
+                        spec = spec_from_file_location(
+                            name,
+                            os.path.join(basepath, "__init__.py"),
+                            submodule_search_locations=[basepath],
+                        )
+                        break
+                if spec:
+                    debug("Found module: {!r}".format(spec))
+                    return spec
         except (FileNotFoundError, ModuleNotFoundError):
             msg = "ImportError loading {!r}, raising CollectionNotFound"
             debug(msg.format(name))