diff --git a/.github/workflows/build-release.yml b/.github/workflows/build-release.yml
index 3f601a0c..a9c25780 100644
--- a/.github/workflows/build-release.yml
+++ b/.github/workflows/build-release.yml
@@ -10,29 +10,14 @@ on:
 jobs:
   tests:
     name: ${{ matrix.name }}
-    runs-on: ${{ matrix.os }}
+    runs-on: ubuntu-latest
     strategy:
       fail-fast: false
       matrix:
         include:
-          - {
-              name: "3.9-ma3",
-              python: "3.9",
-              os: ubuntu-latest,
-              tox: py39-marshmallow3,
-            }
-          - {
-              name: "3.13-ma3",
-              python: "3.13",
-              os: ubuntu-latest,
-              tox: py313-marshmallow3,
-            }
-          - {
-              name: "3.13-madev",
-              python: "3.13",
-              os: ubuntu-latest,
-              tox: py313-marshmallowdev,
-            }
+          - { name: "3.9-ma3", python: "3.9", tox: py39-marshmallow3 }
+          - { name: "3.13-ma3", python: "3.13", tox: py313-marshmallow3 }
+          - { name: "3.13-madev", python: "3.13", tox: py313-marshmallowdev }
     steps:
       - uses: actions/checkout@v4.2.2
       - uses: actions/setup-python@v5
diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml
index e3c1fde9..bce3d753 100644
--- a/.pre-commit-config.yaml
+++ b/.pre-commit-config.yaml
@@ -2,7 +2,7 @@ ci:
   autoupdate_schedule: monthly
 repos:
 - repo: https://github.com/astral-sh/ruff-pre-commit
-  rev: v0.8.1
+  rev: v0.8.6
   hooks:
     - id: ruff
     - id: ruff-format
@@ -15,9 +15,9 @@ repos:
   rev: 1.19.1
   hooks:
   - id: blacken-docs
-    additional_dependencies: [black==23.12.1]
+    additional_dependencies: [black==24.10.0]
 - repo: https://github.com/pre-commit/mirrors-mypy
-  rev: v1.13.0
+  rev: v1.14.1
   hooks:
   - id: mypy
-    additional_dependencies: ["marshmallow>=3,<4", "types-PyYAML"]
+    additional_dependencies: ["marshmallow>=3.24.1,<5", "types-PyYAML"]
diff --git a/CHANGELOG.rst b/CHANGELOG.rst
index 26df76fe..60c8bb1e 100644
--- a/CHANGELOG.rst
+++ b/CHANGELOG.rst
@@ -1,6 +1,13 @@
 Changelog
 ---------
 
+6.9.0 (unreleased)
+******************
+
+Support:
+
+- Support marshmallow 4 (:pr:`963`).
+
 6.8.0 (2024-12-02)
 ******************
 
diff --git a/README.rst b/README.rst
index 64f964f2..d472589f 100644
--- a/README.rst
+++ b/README.rst
@@ -2,7 +2,7 @@
 apispec
 *******
 
-|pypi| |build-status| |docs| |marshmallow3| |openapi|
+|pypi| |build-status| |docs| |marshmallow-support| |openapi|
 
 .. |pypi| image:: https://badgen.net/pypi/v/apispec
     :target: https://pypi.org/project/apispec/
@@ -16,9 +16,9 @@ apispec
    :target: https://apispec.readthedocs.io/
    :alt: Documentation
 
-.. |marshmallow3| image:: https://badgen.net/badge/marshmallow/3?list=1
+.. |marshmallow-support| image:: https://badgen.net/badge/marshmallow/3,4?list=1
     :target: https://marshmallow.readthedocs.io/en/latest/upgrading.html
-    :alt: marshmallow 3 only
+    :alt: marshmallow 3|4 compatible
 
 .. |openapi| image:: https://badgen.net/badge/OAS/2,3?list=1&color=cyan
     :target: https://github.com/OAI/OpenAPI-Specification
diff --git a/src/apispec/ext/marshmallow/common.py b/src/apispec/ext/marshmallow/common.py
index 834ad193..e5373771 100644
--- a/src/apispec/ext/marshmallow/common.py
+++ b/src/apispec/ext/marshmallow/common.py
@@ -26,7 +26,7 @@ def resolve_schema_instance(
         return schema()
     if isinstance(schema, marshmallow.Schema):
         return schema
-    return marshmallow.class_registry.get_class(schema)()  # type: ignore
+    return marshmallow.class_registry.get_class(schema)()
 
 
 def resolve_schema_cls(
diff --git a/tests/test_ext_marshmallow_field.py b/tests/test_ext_marshmallow_field.py
index 36d864c4..ab5cd625 100644
--- a/tests/test_ext_marshmallow_field.py
+++ b/tests/test_ext_marshmallow_field.py
@@ -19,7 +19,6 @@ def test_field2choices_preserving_order(openapi):
     ("FieldClass", "jsontype"),
     [
         (fields.Integer, "integer"),
-        (fields.Number, "number"),
         (fields.Float, "number"),
         (fields.String, "string"),
         (fields.Str, "string"),
@@ -46,9 +45,8 @@ def test_field2property_type(FieldClass, jsontype, spec_fixture):
     assert res["type"] == jsontype
 
 
-@pytest.mark.parametrize("FieldClass", [fields.Field, fields.Raw])
-def test_field2property_no_type_(FieldClass, spec_fixture):
-    field = FieldClass()
+def test_field2property_no_type(spec_fixture):
+    field = fields.Raw()
     res = spec_fixture.openapi.field2property(field)
     assert "type" not in res
 
@@ -291,14 +289,14 @@ def test_field_with_load_only(spec_fixture):
 
 
 def test_field_with_range_no_type(spec_fixture):
-    field = fields.Field(validate=validate.Range(min=1, max=10))
+    field = fields.Raw(validate=validate.Range(min=1, max=10))
     res = spec_fixture.openapi.field2property(field)
     assert res["x-minimum"] == 1
     assert res["x-maximum"] == 10
     assert "type" not in res
 
 
-@pytest.mark.parametrize("field", (fields.Number, fields.Integer))
+@pytest.mark.parametrize("field", (fields.Float, fields.Integer))
 def test_field_with_range_string_type(spec_fixture, field):
     field = field(validate=validate.Range(min=1, max=10))
     res = spec_fixture.openapi.field2property(field)
diff --git a/tox.ini b/tox.ini
index 0c5481d3..9beedcb0 100644
--- a/tox.ini
+++ b/tox.ini
@@ -2,7 +2,7 @@
 envlist=
     lint
     py{39,310,311,312,313}-marshmallow3
-    py312-marshmallowdev
+    py313-marshmallowdev
     docs
 
 [testenv]