diff --git a/src/narwhals/dependencies.py b/src/narwhals/dependencies.py
index 710e4609ad..3b1f9ae760 100644
--- a/src/narwhals/dependencies.py
+++ b/src/narwhals/dependencies.py
@@ -590,6 +590,7 @@ def is_cudf_dtype(
 
 
 def _is_native_series(obj: Any | IntoSeriesT) -> TypeIs[IntoSeriesT]:
+    from narwhals import plugins
     from narwhals._utils import _hasattr_static
 
     return (
@@ -597,10 +598,12 @@ def _is_native_series(obj: Any | IntoSeriesT) -> TypeIs[IntoSeriesT]:
         or _is_polars_series(obj)
         or _is_pyarrow_chunked_array(obj)
         or _is_pandas_like_series(obj)
+        or plugins.is_native_series(obj)
     )
 
 
 def _is_native_dataframe(obj: Any | IntoDataFrameT) -> TypeIs[IntoDataFrameT]:
+    from narwhals import plugins
     from narwhals._utils import _hasattr_static
 
     return (
@@ -608,10 +611,12 @@ def _is_native_dataframe(obj: Any | IntoDataFrameT) -> TypeIs[IntoDataFrameT]:
         or _is_polars_dataframe(obj)
         or _is_pyarrow_table(obj)
         or _is_pandas_like_dataframe(obj)
+        or plugins.is_native_dataframe(obj)
     )
 
 
 def _is_native_lazyframe(obj: Any | IntoLazyFrameT) -> TypeIs[IntoLazyFrameT]:
+    from narwhals import plugins
     from narwhals._utils import _hasattr_static
 
     return (
@@ -623,6 +628,7 @@ def _is_native_lazyframe(obj: Any | IntoLazyFrameT) -> TypeIs[IntoLazyFrameT]:
         or _is_pyspark_dataframe(obj)
         or _is_pyspark_connect_dataframe(obj)
         or _is_sqlframe_dataframe(obj)
+        or plugins.is_native_lazyframe(obj)
     )
 
 
diff --git a/src/narwhals/plugins.py b/src/narwhals/plugins.py
index e550bebca0..a247fc6b22 100644
--- a/src/narwhals/plugins.py
+++ b/src/narwhals/plugins.py
@@ -110,6 +110,27 @@ def from_native(native_object: Any, version: Version) -> CompliantAny | None:
     return next(_iter_from_native(native_object, version), None)
 
 
+def is_native_dataframe(native_object: Any) -> bool:
+    """Check whether an installed plugin converts `native_object` to an eager DataFrame."""
+    from narwhals._utils import Version, is_compliant_dataframe
+
+    return is_compliant_dataframe(from_native(native_object, Version.MAIN))
+
+
+def is_native_lazyframe(native_object: Any) -> bool:
+    """Check whether an installed plugin converts `native_object` to a LazyFrame."""
+    from narwhals._utils import Version, is_compliant_lazyframe
+
+    return is_compliant_lazyframe(from_native(native_object, Version.MAIN))
+
+
+def is_native_series(native_object: Any) -> bool:
+    """Check whether an installed plugin converts `native_object` to a Series."""
+    from narwhals._utils import Version, is_compliant_series
+
+    return is_compliant_series(from_native(native_object, Version.MAIN))
+
+
 def _show_suggestions(native_object_type: type) -> str | None:
     if _might_be(native_object_type, "daft"):  # pragma: no cover
         return (
diff --git a/tests/dependencies/is_into_lazyframe_test.py b/tests/dependencies/is_into_lazyframe_test.py
index b9cabdea83..7ef98cc3a2 100644
--- a/tests/dependencies/is_into_lazyframe_test.py
+++ b/tests/dependencies/is_into_lazyframe_test.py
@@ -1,5 +1,6 @@
 from __future__ import annotations
 
+from importlib.util import find_spec
 from typing import TYPE_CHECKING, Any
 
 import pytest
@@ -76,9 +77,11 @@ def test_is_into_lazyframe_numpy() -> None:
 
 
 def test_is_into_lazyframe_other(always_has_attr: AlwaysHasAttr) -> None:
-    assert not is_into_lazyframe(data)
-    assert not v1_is_into_lazyframe(data)
-    assert not v2_is_into_lazyframe(data)
+    # If `test_plugin` is installed, a plain `dict` is convertible to a LazyFrame.
+    expected = find_spec("test_plugin") is not None
+    assert is_into_lazyframe(data) is expected
+    assert v1_is_into_lazyframe(data) is expected
+    assert v2_is_into_lazyframe(data) is expected
 
     assert is_into_lazyframe(DictLazyFrame(data))
     assert v1_is_into_lazyframe(DictLazyFrame(data))
diff --git a/tests/plugins_test.py b/tests/plugins_test.py
index eb304910f2..6de21e53f1 100644
--- a/tests/plugins_test.py
+++ b/tests/plugins_test.py
@@ -1,13 +1,71 @@
 from __future__ import annotations
 
-from typing import TYPE_CHECKING
+from typing import TYPE_CHECKING, Any
 
 import pytest
 
 import narwhals as nw
+import narwhals.stable.v1.dependencies as nw_v1_dependencies
+import narwhals.stable.v2.dependencies as nw_v2_dependencies
+from narwhals import dependencies as nw_dependencies
 
 if TYPE_CHECKING:
+    from typing_extensions import Self
+
     from narwhals.plugins import Plugin
+    from narwhals.utils import Version
+
+DEPENDENCIES_MODULES = (nw_dependencies, nw_v1_dependencies, nw_v2_dependencies)
+
+
+class FakeNative:
+    """Native object of an imaginary plugin-backed library."""
+
+
+class FakeCompliantDataFrame:
+    def __narwhals_dataframe__(self) -> Self:  # pragma: no cover
+        return self
+
+
+class FakeCompliantLazyFrame:
+    def __narwhals_lazyframe__(self) -> Self:  # pragma: no cover
+        return self
+
+
+class FakeCompliantSeries:
+    def __narwhals_series__(self) -> Self:  # pragma: no cover
+        return self
+
+
+class FakeNamespace:
+    def __init__(self, compliant_cls: type, version: Version) -> None:
+        self._compliant_cls = compliant_cls
+        self._version = version
+
+    def from_native(self, native_object: object) -> Any:
+        assert isinstance(native_object, FakeNative)
+        return self._compliant_cls()
+
+
+class FakePlugin:
+    NATIVE_PACKAGE = "builtins"
+
+    def __init__(self, compliant_cls: type) -> None:
+        self._compliant_cls = compliant_cls
+
+    def is_native(self, native_object: object) -> bool:
+        return isinstance(native_object, FakeNative)
+
+    def __narwhals_namespace__(self, version: Version) -> FakeNamespace:
+        return FakeNamespace(self._compliant_cls, version)
+
+
+class FakeEntryPoint:
+    def __init__(self, plugin: FakePlugin) -> None:
+        self._plugin = plugin
+
+    def load(self) -> FakePlugin:
+        return self._plugin
 
 
 def test_plugin() -> None:
@@ -28,6 +86,47 @@ def test_not_implemented() -> None:
         lf.select(nw.col("a").ewm_mean())
 
 
+def test_is_into_lazyframe() -> None:
+    # https://github.com/narwhals-dev/narwhals/issues/3714
+    pytest.importorskip("test_plugin")
+    df_native = {"a": [1, 1, 2], "b": [4, 5, 6]}
+    for dependencies in DEPENDENCIES_MODULES:
+        assert dependencies.is_into_lazyframe(df_native)
+
+
+def test_is_into_dataframe() -> None:
+    # `test_plugin` converts to a LazyFrame, so `is_into_dataframe` should not match.
+    pytest.importorskip("test_plugin")
+    df_native = {"a": [1, 1, 2], "b": [4, 5, 6]}
+    for dependencies in DEPENDENCIES_MODULES:
+        assert not dependencies.is_into_dataframe(df_native)
+
+
+@pytest.mark.parametrize(
+    ("compliant_cls", "expected_kind"),
+    [
+        (FakeCompliantDataFrame, "dataframe"),
+        (FakeCompliantLazyFrame, "lazyframe"),
+        (FakeCompliantSeries, "series"),
+    ],
+)
+def test_is_into_mocked_plugin(
+    monkeypatch: pytest.MonkeyPatch, compliant_cls: type, expected_kind: str
+) -> None:
+    from narwhals import plugins
+
+    monkeypatch.setattr(
+        plugins,
+        "_discover_entrypoints",
+        lambda: (FakeEntryPoint(FakePlugin(compliant_cls)),),
+    )
+    native = FakeNative()
+    for dependencies in DEPENDENCIES_MODULES:
+        assert dependencies.is_into_dataframe(native) is (expected_kind == "dataframe")
+        assert dependencies.is_into_lazyframe(native) is (expected_kind == "lazyframe")
+        assert dependencies.is_into_series(native) is (expected_kind == "series")
+
+
 def test_typing() -> None:
     pytest.importorskip("test_plugin")
     import test_plugin