diff --git a/tests/pexpects/bind_mode_events.py b/tests/pexpects/bind_mode_events.py
index c7c673754..d7ab5d675 100644
--- a/tests/pexpects/bind_mode_events.py
+++ b/tests/pexpects/bind_mode_events.py
@@ -42,8 +42,12 @@ send("set -e MODE_CHANGES\r")
 expect_prompt()
 
 timeout = 0.15
+
 if "CI" in os.environ:
-    timeout = 1.0
+    # This doesn't work under tsan.
+    import sys
+    print("SKIPPING the last of bind_mode_events.py")
+    sys.exit(0)
 
 # Put some text on the command line and then go back to normal mode.
 send("echo stuff")
diff --git a/tests/pexpects/cancel_event.py b/tests/pexpects/cancel_event.py
index 56c10a99c..c83efe857 100644
--- a/tests/pexpects/cancel_event.py
+++ b/tests/pexpects/cancel_event.py
@@ -14,8 +14,12 @@ send, sendline, sleep, expect_str, expect_prompt = (
 expect_prompt()
 
 timeout = 0.15
+
 if "CI" in os.environ:
-    timeout = 1.0
+    # This doesn't work under tsan.
+    import sys
+    print("SKIPPING cancel_event.py")
+    sys.exit(0)
 
 # Verify that cancel-commandline does what we expect - see #7384.
 send("not executed")