diff --git a/tests/test_markdown.py b/tests/test_markdown.py
index ed99b2feef..ef48564cca 100644
--- a/tests/test_markdown.py
+++ b/tests/test_markdown.py
@@ -205,7 +205,7 @@ async def test_markdown_quoting():
 
     class MyApp(App):
         def compose(self) -> ComposeResult:
-            self.md = Markdown(markdown="[tété](tété)")
+            self.md = Markdown(markdown="[tété](tété)", open_links=False)
             yield self.md
 
         def on_markdown_link_clicked(self, message: Markdown.LinkClicked):
diff --git a/tests/test_markdownviewer.py b/tests/test_markdownviewer.py
index 8d94d4b946..a1646f5a2e 100644
--- a/tests/test_markdownviewer.py
+++ b/tests/test_markdownviewer.py
@@ -29,7 +29,7 @@ def __init__(self, markdown_file: Path) -> None:
         markdown_file.write_text(TEST_MARKDOWN.replace("{{file}}", markdown_file.name))
 
     def compose(self) -> ComposeResult:
-        yield MarkdownViewer()
+        yield MarkdownViewer(open_links=False)
 
     async def on_mount(self) -> None:
         self.query_one(MarkdownViewer).show_table_of_contents = False
@@ -52,7 +52,7 @@ def __init__(self, markdown_string: str) -> None:
         super().__init__()
 
     def compose(self) -> ComposeResult:
-        yield MarkdownViewer(self.markdown_string)
+        yield MarkdownViewer(self.markdown_string, open_links=False)
 
     async def on_mount(self) -> None:
         self.query_one(MarkdownViewer).show_table_of_contents = False