diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index a85287603a..6bfb38da11 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -36,8 +36,6 @@ jobs:
         - '3.9'
         - '3.12'
         - '3.13'
-        - 'pypy-3.8'
-        - 'pypy-3.9'
         - 'pypy-3.10'
         - 'pypy-3.11'
         - 'graalpy-24.1'
@@ -55,10 +53,6 @@ jobs:
               -DPYBIND11_FINDPYTHON=OFF
               -DCMAKE_CXX_FLAGS="-D_=1"
             exercise_D_: 1
-          - runs-on: ubuntu-20.04
-            python: 'pypy-3.8'
-            args: >
-              -DPYBIND11_FINDPYTHON=OFF
           - runs-on: windows-2019
             python: '3.8'
             args: >
diff --git a/include/pybind11/pytypes.h b/include/pybind11/pytypes.h
index 92e0a81f44..1147cab8ec 100644
--- a/include/pybind11/pytypes.h
+++ b/include/pybind11/pytypes.h
@@ -561,12 +561,6 @@ struct error_fetch_and_normalize {
                           + " failed to obtain the name "
                             "of the normalized active exception type.");
         }
-#    if defined(PYPY_VERSION_NUM) && PYPY_VERSION_NUM < 0x07030a00
-        // This behavior runs the risk of masking errors in the error handling, but avoids a
-        // conflict with PyPy, which relies on the normalization here to change OSError to
-        // FileNotFoundError (https://github.com/pybind/pybind11/issues/4075).
-        m_lazy_error_string = exc_type_name_norm;
-#    else
         if (exc_type_name_norm != m_lazy_error_string) {
             std::string msg = std::string(called)
                               + ": MISMATCH of original and normalized "
@@ -578,7 +572,6 @@ struct error_fetch_and_normalize {
             msg += ": " + format_value_and_trace();
             pybind11_fail(msg);
         }
-#    endif
 #endif
     }
 
diff --git a/tests/test_local_bindings.py b/tests/test_local_bindings.py
index 1e83164c77..57552f7ec5 100644
--- a/tests/test_local_bindings.py
+++ b/tests/test_local_bindings.py
@@ -2,7 +2,6 @@
 
 import pytest
 
-import env  # noqa: F401
 from pybind11_tests import local_bindings as m
 
 
@@ -181,7 +180,6 @@ def test_internal_locals_differ():
     assert m.local_cpp_types_addr() != cm.local_cpp_types_addr()
 
 
-@pytest.mark.xfail("env.PYPY and sys.pypy_version_info < (7, 3, 2)")
 def test_stl_caster_vs_stl_bind(msg):
     """One module uses a generic vector caster from `<pybind11/stl.h>` while the other
     exports `std::vector<int>` via `py:bind_vector` and `py::module_local`"""
diff --git a/tests/test_multiple_inheritance.py b/tests/test_multiple_inheritance.py
index 6f5a656f5d..c127036cfa 100644
--- a/tests/test_multiple_inheritance.py
+++ b/tests/test_multiple_inheritance.py
@@ -263,7 +263,6 @@ def test_mi_static_properties():
         assert d.static_value == 0
 
 
-# Requires PyPy 6+
 def test_mi_dynamic_attributes():
     """Mixing bases with and without dynamic attribute support"""
 
diff --git a/tests/test_pytypes.py b/tests/test_pytypes.py
index c189c27a15..697e43965f 100644
--- a/tests/test_pytypes.py
+++ b/tests/test_pytypes.py
@@ -198,7 +198,6 @@ def __contains__(self, m):
         (CustomContains(), m.obj_contains),
     ],
 )
-@pytest.mark.xfail("env.PYPY and sys.pypy_version_info < (7, 3, 10)", strict=False)
 def test_unhashable_exceptions(arg, func):
     class Unhashable:
         __hash__ = None