diff --git a/pypdf/_writer.py b/pypdf/_writer.py
index bc1b473630..f90c29127c 100644
--- a/pypdf/_writer.py
+++ b/pypdf/_writer.py
@@ -63,12 +63,9 @@
     StreamType,
     _get_max_pdf_version_header,
     b_,
-    deprecate_with_replacement,
     deprecation_bookmark,
-    deprecation_with_replacement,
     logger_warning,
 )
-from .annotations import Link
 from .constants import AnnotationDictionaryAttributes as AA
 from .constants import CatalogAttributes as CA
 from .constants import (
@@ -119,12 +116,10 @@
 from .types import (
     AnnotationSubtype,
     BorderArrayType,
-    FitType,
     LayoutType,
     OutlineItemType,
     OutlineType,
     PagemodeType,
-    ZoomArgType,
 )
 
 OPTIONAL_READ_WRITE_FIELD = FieldFlag(0)
@@ -1895,8 +1890,6 @@ def add_uri(
         """
         Add an URI from a rectangular area to the specified page.
 
-        This uses the basic structure of :meth:`add_link`
-
         Args:
             page_number: index of the page on which to place the URI action.
             uri: URI of resource to link to.
@@ -1953,56 +1946,6 @@ def add_uri(
         else:
             page_ref[NameObject(PG.ANNOTS)] = ArrayObject([lnk_ref])
 
-    def add_link(
-        self,
-        pagenum: int,  # deprecated, but method is deprecated already
-        page_destination: int,
-        rect: RectangleObject,
-        border: Optional[ArrayObject] = None,
-        fit: FitType = "/Fit",
-        *args: ZoomArgType,
-    ) -> DictionaryObject:
-        deprecation_with_replacement(
-            "add_link", "add_annotation(pypdf.annotations.Link(...))", "3.0.0"
-        )
-
-        if isinstance(rect, str):
-            rect = rect.strip()[1:-1]
-            rect = RectangleObject(
-                [float(num) for num in rect.split(" ") if len(num) > 0]
-            )
-        elif isinstance(rect, RectangleObject):
-            pass
-        else:
-            rect = RectangleObject(rect)
-
-        annotation = Link(
-            rect=rect,
-            border=border,
-            target_page_index=page_destination,
-            fit=Fit(fit_type=fit, fit_args=args),
-        )
-        return self.add_annotation(page_number=pagenum, annotation=annotation)
-
-    def addLink(
-        self,
-        pagenum: int,  # deprecated, but method is deprecated already
-        page_destination: int,
-        rect: RectangleObject,
-        border: Optional[ArrayObject] = None,
-        fit: FitType = "/Fit",
-        *args: ZoomArgType,
-    ) -> None:  # deprecated
-        """
-        Use :meth:`add_link` instead.
-
-        .. deprecated:: 1.28.0
-        """
-        deprecate_with_replacement(
-            "addLink", "add_annotation(pypdf.annotations.Link(...))", "4.0.0"
-        )
-        self.add_link(pagenum, page_destination, rect, border, fit, *args)
-
     _valid_layouts = (
         "/NoLayout",
         "/SinglePage",
diff --git a/tests/test_writer.py b/tests/test_writer.py
index a74d7825be..8e9f81590c 100644
--- a/tests/test_writer.py
+++ b/tests/test_writer.py
@@ -17,6 +17,7 @@
     PdfWriter,
     Transformation,
 )
+from pypdf.annotations import Link
 from pypdf.errors import DeprecationError, PageSizeNotDefinedError, PyPdfError
 from pypdf.generic import (
     ArrayObject,
@@ -180,8 +181,10 @@ def writer_operate(writer: PdfWriter) -> None:
     writer.add_blank_page()
     writer.add_uri(2, "https://example.com", RectangleObject([0, 0, 100, 100]))
     writer.add_uri(2, "https://example.com", RectangleObject([0, 0, 100, 100]))
-    with pytest.raises(DeprecationError):
-        writer.add_link(2, 1, RectangleObject([0, 0, 100, 100]))
+    writer.add_annotation(
+        page_number=2,
+        annotation=Link(target_page_index=1, rect=RectangleObject([0, 0, 100, 100])),
+    )
     assert writer._get_page_layout() is None
     writer.page_layout = "broken"
     assert writer.page_layout == "broken"
@@ -718,48 +721,55 @@ def test_add_uri(pdf_file_path):
         writer.write(output_stream)
 
 
-def test_add_link(pdf_file_path):
+def test_link_annotation(pdf_file_path):
     reader = PdfReader(RESOURCE_ROOT / "pdflatex-outline.pdf")
     writer = PdfWriter()
 
     for page in reader.pages:
         writer.add_page(page)
 
-    with pytest.raises(
-        DeprecationError,
-        match=(
-            re.escape(
-                "add_link is deprecated and was removed in pypdf 3.0.0. "
-                "Use add_annotation(pypdf.annotations.Link(...)) instead."
-            )
-        ),
-    ):
-        writer.add_link(
-            1,
-            2,
-            RectangleObject([0, 0, 100, 100]),
+    writer.add_annotation(
+        page_number=1,
+        annotation=Link(
+            target_page_index=2,
+            rect=RectangleObject(
+                [0, 0, 100, 100],
+            ),
             border=[1, 2, 3, [4]],
             fit="/Fit",
-        )
-        writer.add_link(
-            2, 3, RectangleObject([20, 30, 50, 80]), [1, 2, 3], "/FitH", None
-        )
-        writer.add_link(
-            3,
-            0,
-            "[ 200 300 250 350 ]",
-            [0, 0, 0],
-            "/XYZ",
-            0,
-            0,
-            2,
-        )
-        writer.add_link(
-            3,
-            0,
-            [100, 200, 150, 250],
+        ),
+    )
+    writer.add_annotation(
+        page_number=2,
+        annotation=Link(
+            target_page_index=3,
+            rect=RectangleObject(
+                [0, 0, 100, 100],
+            ),
+            border=[1, 2, 3],
+            fit="/FitH",
+        ),
+    )
+    writer.add_annotation(
+        page_number=3,
+        annotation=Link(
+            target_page_index=0,
+            rect=RectangleObject(
+                "[ 200 300 250 350 ]",
+            ),
             border=[0, 0, 0],
-        )
+            fit="/XYZ",
+            fit_args=[0, 0, 2],
+        ),
+    )
+    writer.add_annotation(
+        page_number=3,
+        annotation=Link(
+            target_page_index=0,
+            rect=RectangleObject([100, 200, 150, 250]),
+            border=[0, 0, 0],
+        ),
+    )
 
     # write "output" to pypdf-output.pdf
     with open(pdf_file_path, "wb") as output_stream: