diff --git a/src/pytask_latex/collect.py b/src/pytask_latex/collect.py
index 303658f..24c1fab 100644
--- a/src/pytask_latex/collect.py
+++ b/src/pytask_latex/collect.py
@@ -205,14 +205,28 @@ def pytask_collect_task(
                 markers=markers,
             )
 
-        if session.config["infer_latex_dependencies"]:
-            task = _add_latex_dependencies_retroactively(task, session)
-
         return task
     return None
 
 
-def _add_latex_dependencies_retroactively(task: PTask, session: Session) -> PTask:
+@hookimpl
+def pytask_collect_modify_tasks(session: Session, tasks: list[PTask]) -> None:
+    """Add dependencies from from LaTeX documents to tasks."""
+    if session.config["infer_latex_dependencies"]:
+        all_products = {
+            product.path
+            for task in tasks
+            for product in tree_leaves(task.produces)
+            if isinstance(product, PPathNode)
+        }
+        latex_tasks = [task for task in tasks if has_mark(task, "latex")]
+        for task in latex_tasks:
+            _add_latex_dependencies_retroactively(task, session, all_products)
+
+
+def _add_latex_dependencies_retroactively(
+    task: PTask, session: Session, all_products: set[Path]
+) -> None:
     """Add dependencies from LaTeX document to task.
 
     Unfortunately, the dependencies have to be added retroactively, after the task has
@@ -234,23 +248,22 @@ def _add_latex_dependencies_retroactively(task: PTask, session: Session) -> PTas
     """
     # Scan the LaTeX document for included files.
     try:
-        latex_dependencies = set(
+        scanned_deps = set(
             lds.scan(task.depends_on["_path_to_tex"].path)  # type: ignore[attr-defined]
         )
     except Exception:  # noqa: BLE001
         warnings.warn(
             "pytask-latex failed to scan latex document for dependencies.", stacklevel=1
         )
-        latex_dependencies = set()
+        scanned_deps = set()
 
     # Remove duplicated dependencies which have already been added by the user and those
     # which do not exist.
-    existing_paths = {
+    task_deps = {
         i.path for i in tree_leaves(task.depends_on) if isinstance(i, PPathNode)
     }
-    new_deps = latex_dependencies - existing_paths
-    new_existing_deps = {i for i in new_deps if i.exists()}
-    new_numbered_deps = dict(enumerate(new_existing_deps))
+    additional_deps = scanned_deps - task_deps
+    new_deps = [i for i in additional_deps if i in all_products or i.exists()]
 
     # Collect new dependencies and add them to the task.
     task_path = task.path if isinstance(task, PTaskWithPath) else None
@@ -268,7 +281,7 @@ def _add_latex_dependencies_retroactively(task: PTask, session: Session) -> PTas
                 task_name=task.name,
             ),
         ),
-        new_numbered_deps,
+        new_deps,
     )
     task.depends_on[
         "_scanned_dependencies"
@@ -277,8 +290,6 @@ def _add_latex_dependencies_retroactively(task: PTask, session: Session) -> PTas
     # Mark the task as being delayed to avoid conflicts with unmatched dependencies.
     task.markers.append(Mark("try_last", (), {}))
 
-    return task
-
 
 def _collect_node(
     session: Session, path: Path, node_info: NodeInfo
diff --git a/tests/test_execute.py b/tests/test_execute.py
index 1726429..1d25d2b 100644
--- a/tests/test_execute.py
+++ b/tests/test_execute.py
@@ -584,3 +584,43 @@ def test_use_task_without_path(tmp_path):
     tmp_path.joinpath("document.tex").write_text(textwrap.dedent(latex_source))
     session = build(paths=tmp_path)
     assert session.exit_code == ExitCode.OK
+
+
+@needs_latexmk
+@skip_on_github_actions_with_win
+@pytest.mark.end_to_end()
+def test_collect_latex_document_with_product_from_another_task(runner, tmp_path):
+    """Test simple compilation."""
+    task_source = """
+    import pytask
+    from pathlib import Path
+    from pytask import Product
+    from typing_extensions import Annotated
+
+    @pytask.mark.latex(script="document.tex", document="document.pdf")
+    def task_compile_document(): pass
+
+
+    def task_create_input_tex(
+        path: Annotated[Path, Product] = Path("duesterboys.tex")
+    ) -> None:
+        path.write_text("weil du meine Mitten extrahierst.")
+    """
+    tmp_path.joinpath("task_dummy.py").write_text(textwrap.dedent(task_source))
+
+    latex_source = r"""
+    \documentclass{report}
+    \begin{document}
+    \input{duesseldorf}
+    \input{duesterboys}
+    \end{document}
+    """
+    tmp_path.joinpath("document.tex").write_text(textwrap.dedent(latex_source))
+    tmp_path.joinpath("duesseldorf.tex").write_text(
+        "Bin ich wieder nur so nett zu dir, "
+    )
+
+    result = runner.invoke(cli, ["collect", "--nodes", tmp_path.as_posix()])
+    assert result.exit_code == ExitCode.OK
+    assert "duesseldorf.tex" in result.output
+    assert "duesterboys.tex" in result.output