diff --git a/.changes/next-release/enhancement-dependency-14385.json b/.changes/next-release/enhancement-dependency-14385.json
new file mode 100644
index 000000000000..f91b3afa8e69
--- /dev/null
+++ b/.changes/next-release/enhancement-dependency-14385.json
@@ -0,0 +1,5 @@
+{
+  "type": "enhancement",
+  "category": "dependency",
+  "description": "Update ``flit_core`` version range ceiling to 3.9.0"
+}
diff --git a/pyproject.toml b/pyproject.toml
index a29425b6ada9..3b2f4e421a9d 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -1,6 +1,6 @@
 [build-system]
 requires = [
-"flit_core>=3.7.1,<3.8.1",
+"flit_core>=3.7.1,<3.9.1",
 ]
 build-backend = "pep517"
 backend-path = ["backends"]
diff --git a/requirements-base.txt b/requirements-base.txt
index bf4a76f7d6cb..22db38f9b06c 100644
--- a/requirements-base.txt
+++ b/requirements-base.txt
@@ -1,2 +1,2 @@
 wheel==0.38.4
-flit_core==3.8.0
+flit_core==3.9.0
diff --git a/requirements/bootstrap.txt b/requirements/bootstrap.txt
index f50b4ee361da..6fb9e6ef5031 100644
--- a/requirements/bootstrap.txt
+++ b/requirements/bootstrap.txt
@@ -1,2 +1,2 @@
 pip>=22.0.0,<24.0.0
-flit_core>=3.7.1,<3.8.1
+flit_core>=3.7.1,<3.9.1
diff --git a/requirements/download-deps/bootstrap-lock.txt b/requirements/download-deps/bootstrap-lock.txt
index bc1408c852dc..ebff4b831e5c 100644
--- a/requirements/download-deps/bootstrap-lock.txt
+++ b/requirements/download-deps/bootstrap-lock.txt
@@ -6,9 +6,9 @@
 #
 
 # The following packages are considered to be unsafe in a requirements file:
-flit-core==3.8.0 \
-    --hash=sha256:64a29ec845164a6abe1136bf4bc5ae012bdfe758ed42fc7571a9059a7c80bd83 \
-    --hash=sha256:b305b30c99526df5e63d6022dd2310a0a941a187bd3884f4c8ef0418df6c39f3
+flit-core==3.9.0 \
+    --hash=sha256:72ad266176c4a3fcfab5f2930d76896059851240570ce9a98733b658cb786eba \
+    --hash=sha256:7aada352fb0c7f5538c4fafeddf314d3a6a92ee8e2b1de70482329e42de70301
     # via -r requirements/download-deps/../bootstrap.txt
 pip==23.3.2 \
     --hash=sha256:5052d7889c1f9d05224cd41741acb7c5d6fa735ab34e339624a614eaaa7e7d76 \
diff --git a/requirements/download-deps/bootstrap-win-lock.txt b/requirements/download-deps/bootstrap-win-lock.txt
index 3c91b847b99e..a06508e9ee33 100644
--- a/requirements/download-deps/bootstrap-win-lock.txt
+++ b/requirements/download-deps/bootstrap-win-lock.txt
@@ -6,9 +6,9 @@
 #
 
 # The following packages are considered to be unsafe in a requirements file:
-flit-core==3.8.0 \
-    --hash=sha256:64a29ec845164a6abe1136bf4bc5ae012bdfe758ed42fc7571a9059a7c80bd83 \
-    --hash=sha256:b305b30c99526df5e63d6022dd2310a0a941a187bd3884f4c8ef0418df6c39f3
+flit-core==3.9.0 \
+    --hash=sha256:72ad266176c4a3fcfab5f2930d76896059851240570ce9a98733b658cb786eba \
+    --hash=sha256:7aada352fb0c7f5538c4fafeddf314d3a6a92ee8e2b1de70482329e42de70301
     # via -r requirements\download-deps\../bootstrap.txt
 pip==23.3.2 \
     --hash=sha256:5052d7889c1f9d05224cd41741acb7c5d6fa735ab34e339624a614eaaa7e7d76 \