diff --git a/AUTHORS b/AUTHORS
index e11400c1f..d0e584f63 100644
--- a/AUTHORS
+++ b/AUTHORS
@@ -70,6 +70,7 @@ Daniel Hahler
 Daniel Nuri
 Daniel Wandschneider
 Danielle Jenkins
+Daniil Galiev
 Dave Hunt
 David Díaz-Barquero
 David Mohr
diff --git a/changelog/5830.bugfix.rst b/changelog/5830.bugfix.rst
new file mode 100644
index 000000000..355790fd4
--- /dev/null
+++ b/changelog/5830.bugfix.rst
@@ -0,0 +1 @@
+Fix fail skipping the first test in package marked as ``skip``
diff --git a/src/_pytest/python.py b/src/_pytest/python.py
index 913a93bc0..97a3ac805 100644
--- a/src/_pytest/python.py
+++ b/src/_pytest/python.py
@@ -251,18 +251,21 @@ class PyobjMixin(PyobjContext):
     @property
     def obj(self):
         """Underlying Python object."""
+        self._mount_obj_if_needed()
+        return self._obj
+
+    @obj.setter
+    def obj(self, value):
+        self._obj = value
+
+    def _mount_obj_if_needed(self):
         obj = getattr(self, "_obj", None)
         if obj is None:
             self._obj = obj = self._getobj()
             # XXX evil hack
             # used to avoid Instance collector marker duplication
             if self._ALLOW_MARKERS:
-                self.own_markers.extend(get_unpacked_marks(self.obj))
-        return obj
-
-    @obj.setter
-    def obj(self, value):
-        self._obj = value
+                self.own_markers.extend(get_unpacked_marks(obj))
 
     def _getobj(self):
         """Gets the underlying Python object. May be overwritten by subclasses."""
@@ -628,6 +631,7 @@ class Package(Module):
         return path in self.session._initialpaths
 
     def collect(self):
+        self._mount_obj_if_needed()
         this_path = self.fspath.dirpath()
         init_module = this_path.join("__init__.py")
         if init_module.check(file=1) and path_matches_patterns(
diff --git a/testing/test_skipping.py b/testing/test_skipping.py
index 8bba479f1..371c3a4db 100644
--- a/testing/test_skipping.py
+++ b/testing/test_skipping.py
@@ -1162,3 +1162,26 @@ def test_importorskip():
         match="^could not import 'doesnotexist': No module named .*",
     ):
         pytest.importorskip("doesnotexist")
+
+
+def test_skip_package(testdir):
+    testdir.makepyfile(
+        __init__="""
+        import pytest
+        pytestmark = pytest.mark.skip
+    """
+    )
+
+    testdir.makepyfile(
+        """
+        import pytest
+        def test_skip1():
+            assert 0
+        def test_skip2():
+            assert 0
+    """
+    )
+
+    result = testdir.inline_run()
+    _, skipped, _ = result.listoutcomes()
+    assert len(skipped) == 2