diff --git a/README.md b/README.md
index 7e044ae7..3f332ba5 100644
--- a/README.md
+++ b/README.md
@@ -67,9 +67,14 @@ Installation instructions, and running the tests
 The multicore test suite requires OCaml 5.x:
 ```
 opam update
-opam switch create 5.0.0
+opam switch create 5.3.0
 ```
 
+It is designed to stress test OCaml 5's multicore features. As such, it requires
+a multicore machine to run successfully and will fail on a single-CPU setup. We
+recommend running the test suite with 3 or more (virtual) CPUs.
+
+
 Installing the libraries
 ------------------------
 
@@ -110,6 +115,11 @@ dune build
 dune runtest -j1 --no-buffer --display=quiet
 ```
 
+As some of the tests are negative, e.g., confirming known domain unsafety by
+finding a counterexample, we recommend running only one property-based test at a
+time (`-j1`) to prevent contention between the individual tests for CPU
+resources.
+
 Individual tests can be run by invoking `dune exec`. For example:
 ```
 $ dune exec src/atomic/stm_tests.exe -- -v
@@ -830,4 +840,4 @@ let () = Task.teardown_pool pool
 
 ---
 
-This project has been created and is maintained by <a href="https://tarides.com/">Tarides</a>.
+This project has been created by <a href="https://tarides.com/">Tarides</a>.