diff --git a/providers/common/ai/docs/toolsets/index.rst b/providers/common/ai/docs/toolsets/index.rst
index 3d61337e8a37b..eb9c052544850 100644
--- a/providers/common/ai/docs/toolsets/index.rst
+++ b/providers/common/ai/docs/toolsets/index.rst
@@ -239,6 +239,8 @@ the call. What counts differs by toolset:
 - ``ObjectStorageToolset`` counts invalid arguments only. A path that does not exist or
   cannot be read goes back to the model as a failed result without using the budget;
   bound repeated failed reads with ``usage_limits``.
+- ``AgentSkillsToolset`` counts a failed call to a skills tool, such as a resource name
+  that does not exist.
 
 These toolsets allow as many corrections as the agent's tool retry budget, pydantic-ai's
 ``retries`` (one by default), the same way pydantic-ai's own toolsets do. Pass
diff --git a/providers/common/ai/docs/toolsets/skills.rst b/providers/common/ai/docs/toolsets/skills.rst
index bb1cdcc6bf456..1e0b1ed6dd7b7 100644
--- a/providers/common/ai/docs/toolsets/skills.rst
+++ b/providers/common/ai/docs/toolsets/skills.rst
@@ -109,14 +109,18 @@ reading an excluded file got:
 
     Resource 'warehouse.env' not found in skill 'sql-reporting'. Available resources: ['reference.md']. Use the exact name from load_skill output.
 
-The skills tools allow the model one correction each, and the agent's ``retries``
-does not change that. A second refused read in a row failed the run with
-``UnexpectedModelBehavior``, even with ``retries`` set to ``{"tools": 3}``:
+Without ``max_retries``, each skills tool allows as many corrections as the agent's
+``retries``, one by default, and a successful call to that tool resets the count. With
+the default, a second refused read in a row failed the run with
+``UnexpectedModelBehavior``:
 
 .. code-block:: text
 
     Tool 'read_skill_resource' exceeded max retries count of 1. Consider raising the retry limit, or see the docs on tool retries: https://pydantic.dev/docs/ai/tools-toolsets/tools-advanced/#tool-retries
 
+With the example's ``max_retries=3``, the same two refused reads went back to the model,
+which then read ``reference.md`` and finished the run.
+
 ``exclude_resources`` hides files from the resource tools only. A skill's scripts can
 still read them, which is why the example excludes ``run_skill_script`` as well.
 
@@ -137,6 +141,9 @@ Parameters
   it does not stop a skill's ``run_skill_script`` from reading them off disk, so
   pair it with ``exclude_tools={"run_skill_script"}`` when the files are
   genuinely sensitive.
+- ``max_retries``: How many times the model may correct failed calls to one skills tool
+  before the run fails; a successful call to that tool resets the count. Default
+  ``None``, the agent's ``retries``. See :ref:`toolset-retry-budget`.
 
 Using Agent Skills with other frameworks
 ----------------------------------------
diff --git a/providers/common/ai/src/airflow/providers/common/ai/example_dags/example_agent_skills.py b/providers/common/ai/src/airflow/providers/common/ai/example_dags/example_agent_skills.py
index f922b40993d30..5618c758e7ad0 100644
--- a/providers/common/ai/src/airflow/providers/common/ai/example_dags/example_agent_skills.py
+++ b/providers/common/ai/src/airflow/providers/common/ai/example_dags/example_agent_skills.py
@@ -130,6 +130,8 @@ def example_agent_skills_restricted():
                 exclude_tools={"run_skill_script"},
                 # Keep matching files out of the resources the model can list and read.
                 exclude_resources=["*.env", "secrets/*"],
+                # Allow up to 3 corrections per skills tool; a successful call resets the count.
+                max_retries=3,
             )
         ],
     )
diff --git a/providers/common/ai/src/airflow/providers/common/ai/toolsets/skills.py b/providers/common/ai/src/airflow/providers/common/ai/toolsets/skills.py
index 8dc1fb68ba955..65d508098e33b 100644
--- a/providers/common/ai/src/airflow/providers/common/ai/toolsets/skills.py
+++ b/providers/common/ai/src/airflow/providers/common/ai/toolsets/skills.py
@@ -30,9 +30,11 @@
 
 from __future__ import annotations
 
+import dataclasses
 from typing import TYPE_CHECKING, Any
 
 from airflow.providers.common.ai.skills import SkillSource, _materialize_skills
+from airflow.providers.common.ai.utils.toolset_base import validate_max_retries
 
 try:
     from pydantic_ai.toolsets.abstract import AbstractToolset
@@ -72,6 +74,10 @@ class AgentSkillsToolset(AbstractToolset):
         discovery only -- it does not stop a skill's ``run_skill_script`` from
         reading them off disk, so pair it with ``exclude_tools={"run_skill_script"}``
         when the files are genuinely sensitive. Requires ``pydantic-ai-skills>=1.2.0``.
+    :param max_retries: How many times the model may correct failed calls to one skills tool,
+        such as a resource name that does not exist, before the run fails; a successful call
+        to that tool resets the count. ``None`` (the default) uses the agent's tool retry
+        budget, its ``retries``, as the provider's other toolsets do.
 
     Requires the ``skills`` extra: ``pip install "apache-airflow-providers-common-ai[skills]"``.
     """
@@ -82,10 +88,12 @@ def __init__(
         *,
         exclude_tools: set[str] | None = None,
         exclude_resources: list[str] | None = None,
+        max_retries: int | None = None,
     ) -> None:
         self._sources = list(sources)
         self._exclude_tools = exclude_tools
         self._exclude_resources = exclude_resources
+        self._max_retries = validate_max_retries(max_retries)
         self._inner: Any = None
         self._cleanup: Callable[[], None] | None = None
 
@@ -101,6 +109,7 @@ async def for_run(self, ctx: RunContext) -> AbstractToolset:
             self._sources,
             exclude_tools=self._exclude_tools,
             exclude_resources=self._exclude_resources,
+            max_retries=self._max_retries,
         )
 
     async def __aenter__(self) -> AgentSkillsToolset:
@@ -150,7 +159,11 @@ def _require_inner(self) -> Any:
         return self._inner
 
     async def get_tools(self, ctx: RunContext) -> dict[str, ToolsetTool]:
-        return await self._require_inner().get_tools(ctx)
+        # pydantic-ai-skills fixes its tools' budget at one correction, whatever the agent's
+        # retries say; resolve it the way the provider's other toolsets do instead.
+        max_retries = ctx.max_retries if self._max_retries is None else self._max_retries
+        tools = await self._require_inner().get_tools(ctx)
+        return {name: dataclasses.replace(tool, max_retries=max_retries) for name, tool in tools.items()}
 
     async def call_tool(
         self, name: str, tool_args: dict[str, Any], ctx: RunContext, tool: ToolsetTool
diff --git a/providers/common/ai/tests/unit/common/ai/toolsets/test_skills.py b/providers/common/ai/tests/unit/common/ai/toolsets/test_skills.py
index a0e768da563e3..7801697948d4d 100644
--- a/providers/common/ai/tests/unit/common/ai/toolsets/test_skills.py
+++ b/providers/common/ai/tests/unit/common/ai/toolsets/test_skills.py
@@ -27,6 +27,10 @@
 from unittest.mock import MagicMock, patch
 
 import pytest
+from pydantic_ai import Agent
+from pydantic_ai.exceptions import UnexpectedModelBehavior
+from pydantic_ai.messages import ModelResponse, TextPart, ToolCallPart
+from pydantic_ai.models.function import FunctionModel
 
 from airflow.providers.common.ai.skills import GitSkills
 from airflow.providers.common.ai.toolsets.skills import AgentSkillsToolset
@@ -145,17 +149,58 @@ def fake_skillstoolset(**kwargs):
 
         assert "exclude_tools" not in captured
         assert "exclude_resources" not in captured
+        assert "max_retries" not in captured
+
+    def test_negative_max_retries_is_rejected(self):
+        with pytest.raises(ValueError, match="max_retries must not be negative"):
+            AgentSkillsToolset(sources=["/x"], max_retries=-1)
 
     def test_for_run_propagates_optional_kwargs(self):
         # for_run hands each run its own instance; dropping a kwarg here would
         # silently expose excluded files in concurrent runs.
         toolset = AgentSkillsToolset(
-            sources=["/x"], exclude_tools={"run_skill_script"}, exclude_resources=["*.env"]
+            sources=["/x"], exclude_tools={"run_skill_script"}, exclude_resources=["*.env"], max_retries=3
         )
         per_run = asyncio.run(toolset.for_run(MagicMock()))  # noqa: spec  (for_run ignores ctx)
         assert per_run is not toolset
         assert per_run._exclude_tools == {"run_skill_script"}
         assert per_run._exclude_resources == ["*.env"]
+        assert per_run._max_retries == 3
+
+    @pytest.mark.parametrize(
+        ("max_retries", "agent_retries", "fails"),
+        [
+            pytest.param(None, 1, True, id="agent_default_allows_one_correction"),
+            pytest.param(None, 3, False, id="follows_agent_retries"),
+            pytest.param(2, 1, False, id="own_budget_wins"),
+        ],
+    )
+    def test_max_retries_bounds_corrections_in_a_real_run(self, tmp_path, max_retries, agent_retries, fails):
+        """Two unknown resource names in a row need a budget of at least two corrections."""
+        _write_skill(tmp_path)
+        calls = iter(
+            [
+                {"skill_name": "demo-skill", "resource_name": "missing-1.md"},
+                {"skill_name": "demo-skill", "resource_name": "missing-2.md"},
+            ]
+        )
+
+        def model(messages, info):
+            if (args := next(calls, None)) is None:
+                return ModelResponse(parts=[TextPart("done")])
+            return ModelResponse(parts=[ToolCallPart("read_skill_resource", args)])
+
+        agent = Agent(
+            FunctionModel(model),
+            toolsets=[AgentSkillsToolset(sources=[str(tmp_path)], max_retries=max_retries)],
+            retries={"tools": agent_retries},
+        )
+
+        if fails:
+            with pytest.raises(UnexpectedModelBehavior, match="exceeded max retries count of 1"):
+                agent.run_sync("go")
+        else:
+            assert agent.run_sync("go").output == "done"
 
 
 class TestCleanup: