diff --git a/poetry.lock b/poetry.lock
index 830f80dc97..a85325b696 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -1967,18 +1967,18 @@ pytest = [
 
 [[package]]
 name = "pytest-rerunfailures"
-version = "11.1.2"
+version = "13.0"
 description = "pytest plugin to re-run tests to eliminate flaky failures"
 optional = false
 python-versions = ">=3.7"
 files = [
-    {file = "pytest-rerunfailures-11.1.2.tar.gz", hash = "sha256:55611661e873f1cafa384c82f08d07883954f4b76435f4b8a5b470c1954573de"},
-    {file = "pytest_rerunfailures-11.1.2-py3-none-any.whl", hash = "sha256:d21fe2e46d9774f8ad95f1aa799544ae95cac3a223477af94aa985adfae92b7e"},
+    {file = "pytest-rerunfailures-13.0.tar.gz", hash = "sha256:e132dbe420bc476f544b96e7036edd0a69707574209b6677263c950d19b09199"},
+    {file = "pytest_rerunfailures-13.0-py3-none-any.whl", hash = "sha256:34919cb3fcb1f8e5d4b940aa75ccdea9661bade925091873b7c6fa5548333069"},
 ]
 
 [package.dependencies]
 packaging = ">=17.1"
-pytest = ">=5.3"
+pytest = ">=7"
 
 [[package]]
 name = "pytest-split"
@@ -2476,16 +2476,6 @@ files = [
     {file = "wrapt-1.14.1-cp310-cp310-musllinux_1_1_x86_64.whl", hash = "sha256:8ad85f7f4e20964db4daadcab70b47ab05c7c1cf2a7c1e51087bfaa83831854c"},
     {file = "wrapt-1.14.1-cp310-cp310-win32.whl", hash = "sha256:a9a52172be0b5aae932bef82a79ec0a0ce87288c7d132946d645eba03f0ad8a8"},
     {file = "wrapt-1.14.1-cp310-cp310-win_amd64.whl", hash = "sha256:6d323e1554b3d22cfc03cd3243b5bb815a51f5249fdcbb86fda4bf62bab9e164"},
-    {file = "wrapt-1.14.1-cp311-cp311-macosx_10_9_x86_64.whl", hash = "sha256:ecee4132c6cd2ce5308e21672015ddfed1ff975ad0ac8d27168ea82e71413f55"},
-    {file = "wrapt-1.14.1-cp311-cp311-macosx_11_0_arm64.whl", hash = "sha256:2020f391008ef874c6d9e208b24f28e31bcb85ccff4f335f15a3251d222b92d9"},
-    {file = "wrapt-1.14.1-cp311-cp311-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:2feecf86e1f7a86517cab34ae6c2f081fd2d0dac860cb0c0ded96d799d20b335"},
-    {file = "wrapt-1.14.1-cp311-cp311-manylinux_2_5_i686.manylinux1_i686.manylinux_2_17_i686.manylinux2014_i686.whl", hash = "sha256:240b1686f38ae665d1b15475966fe0472f78e71b1b4903c143a842659c8e4cb9"},
-    {file = "wrapt-1.14.1-cp311-cp311-manylinux_2_5_x86_64.manylinux1_x86_64.manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:a9008dad07d71f68487c91e96579c8567c98ca4c3881b9b113bc7b33e9fd78b8"},
-    {file = "wrapt-1.14.1-cp311-cp311-musllinux_1_1_aarch64.whl", hash = "sha256:6447e9f3ba72f8e2b985a1da758767698efa72723d5b59accefd716e9e8272bf"},
-    {file = "wrapt-1.14.1-cp311-cp311-musllinux_1_1_i686.whl", hash = "sha256:acae32e13a4153809db37405f5eba5bac5fbe2e2ba61ab227926a22901051c0a"},
-    {file = "wrapt-1.14.1-cp311-cp311-musllinux_1_1_x86_64.whl", hash = "sha256:49ef582b7a1152ae2766557f0550a9fcbf7bbd76f43fbdc94dd3bf07cc7168be"},
-    {file = "wrapt-1.14.1-cp311-cp311-win32.whl", hash = "sha256:358fe87cc899c6bb0ddc185bf3dbfa4ba646f05b1b0b9b5a27c2cb92c2cea204"},
-    {file = "wrapt-1.14.1-cp311-cp311-win_amd64.whl", hash = "sha256:26046cd03936ae745a502abf44dac702a5e6880b2b01c29aea8ddf3353b68224"},
     {file = "wrapt-1.14.1-cp35-cp35m-manylinux1_i686.whl", hash = "sha256:43ca3bbbe97af00f49efb06e352eae40434ca9d915906f77def219b88e85d907"},
     {file = "wrapt-1.14.1-cp35-cp35m-manylinux1_x86_64.whl", hash = "sha256:6b1a564e6cb69922c7fe3a678b9f9a3c54e72b469875aa8018f18b4d1dd1adf3"},
     {file = "wrapt-1.14.1-cp35-cp35m-manylinux2010_i686.whl", hash = "sha256:00b6d4ea20a906c0ca56d84f93065b398ab74b927a7a3dbd470f6fc503f95dc3"},
@@ -2707,4 +2697,4 @@ cffi = ["cffi (>=1.11)"]
 [metadata]
 lock-version = "2.0"
 python-versions = "^3.9"
-content-hash = "25ffa9ed98d890a3b85e6036792296a60bb705e8f9eaa1f07336501116a58756"
+content-hash = "9f33b4404dbb9803ede5785469241dde1d09132427b87db8928bdbc37ccd6b7a"
diff --git a/pyproject.toml b/pyproject.toml
index 60cf0e5c96..536efeab56 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -34,7 +34,7 @@ types-psutil = "^5.9.5.12"
 types-toml = "^0.10.8.6"
 pytest-httpserver = "^1.0.8"
 aiohttp = "3.9.0"
-pytest-rerunfailures = "^11.1.2"
+pytest-rerunfailures = "^13.0"
 types-pytest-lazy-fixture = "^0.6.3.3"
 pytest-split = "^0.8.1"
 zstandard = "^0.21.0"
diff --git a/test_runner/fixtures/neon_fixtures.py b/test_runner/fixtures/neon_fixtures.py
index 188851c39f..9545dc2dd5 100644
--- a/test_runner/fixtures/neon_fixtures.py
+++ b/test_runner/fixtures/neon_fixtures.py
@@ -3029,6 +3029,11 @@ def get_test_output_dir(request: FixtureRequest, top_output_dir: Path) -> Path:
     """Compute the working directory for an individual test."""
     test_name = request.node.name
     test_dir = top_output_dir / test_name.replace("/", "-")
+
+    # We rerun flaky tests multiple times, use a separate directory for each run.
+    if (suffix := getattr(request.node, "execution_count", None)) is not None:
+        test_dir = test_dir.parent / f"{test_dir.name}-{suffix}"
+
     log.info(f"get_test_output_dir is {test_dir}")
     # make mypy happy
     assert isinstance(test_dir, Path)