diff --git a/.gitignore b/.gitignore
index 1107137..67901af 100644
--- a/.gitignore
+++ b/.gitignore
@@ -1,3 +1,4 @@
 /*.tar.*
+/*-jit_stencils.h
 /*.src.rpm
 /results_python3*
diff --git a/download-jit-stencils-from-koji.sh b/download-jit-stencils-from-koji.sh
new file mode 100644
index 0000000..296af97
--- /dev/null
+++ b/download-jit-stencils-from-koji.sh
@@ -0,0 +1,23 @@
+set -eu
+export LANG=C.utf-8
+
+taskid=$(echo "$1" | sed -E 's/.*=|^([0-9]+)/\1/')
+filter='.*-debugsource-.*\.(x86_64|aarch64)\.rpm'
+
+download_stdout=$(koji download-task $taskid --filter "$filter" | tee /dev/stderr)
+files=$(echo "$download_stdout" | grep -E '^Downloading ' | sed -E 's/.*\s+(\S+)/\1/' | sort)
+
+for file in $files; do
+  nvra=${file/.rpm}
+  snvra=${nvra/-debugsource}
+  version=$(echo $nvra | sed -E -e 's|.*-([^-]+)-[^-]+|\1|' -e 's|~||')
+  arch=$(echo $nvra | sed -E 's|.*\.([^.]+)|\1|')
+  rpm2cpio $file | cpio -idmv ./usr/src/debug/${snvra}/build/{debug,optimized}/jit_stencils-${arch}-redhat-linux-gnu.h
+  for build in debug optimized; do
+    mv -v ./usr/src/debug/${snvra}/build/${build}/jit_stencils-${arch}-redhat-linux-gnu.h Python-${version}-${arch}-${build}-jit_stencils.h > /dev/stderr
+    echo Python-${version}-${arch}-${build}-jit_stencils.h
+  done
+  rmdir ./usr/src/debug/${snvra}{/build{/{debug,optimized},},} || :
+  rm -v $file > /dev/stderr
+done
+rmdir ./usr{/src{/debug,},} || :
diff --git a/python3.14.spec b/python3.14.spec
index 1649c29..11dc475 100644
--- a/python3.14.spec
+++ b/python3.14.spec
@@ -78,10 +78,13 @@ License: Python-2.0.1
 
 # PEP 744: JIT Compilation
 # Whether to build with the experimental JIT compiler
-# We can only have this on Fedora 41+, where clang 19+ is available
-# And only on certain architectures: https://peps.python.org/pep-0744/#support
+# Only possible on certain architectures: https://peps.python.org/pep-0744/#support
 # The freethreading build (when enabled) does not support JIT yet
-%bcond jit %[(0%{?fedora} >= 41) && ("%{_arch}" == "x86_64" || "%{_arch}" == "aarch64")]
+%bcond jit %["%{_arch}" == "x86_64" || "%{_arch}" == "aarch64"]
+# Whether to build the JIT stencils (or else use the prebuilt ones)
+# We can only do this on Fedora 41+, where clang 19 is available
+# We don't do it in RHEL, see https://github.com/fedora-eln/eln/issues/207
+%bcond jit_build_stencils %[%{with jit} && 0%{?fedora} >= 41]
 %if %{with jit}
 # When built with JIT, it still needs to be enabled on runtime via PYTHON_JIT=1
 %global jit_flag --enable-experimental-jit=yes-off
@@ -293,7 +296,7 @@ BuildRequires: glibc-all-langpacks
 BuildRequires: tzdata
 %endif
 
-%if %{with jit}
+%if %{with jit_build_stencils}
 BuildRequires: clang(major) = 19
 BuildRequires: llvm(major) = 19
 %endif
@@ -347,6 +350,24 @@ Source10: idle3.desktop
 # AppData file for idle3
 Source11: idle3.appdata.xml
 
+# Pre-generated JIT stencils (see PEP 774)
+# As the PEP was deferred, we use stencils we built for ourselves.
+# Only used on platforms without the required LLVM version.
+#
+# When updating Python:
+#  1. touch the .h files (create them empty)
+#  2. scratch build Python on platform with required LLVM version (usually rawhide)
+#  3. download the files from Koji:
+#    $ bash download-jit-stencils-from-koji.sh KOJI_TASK_URL|KOJI_TASK_ID
+#  4. add the files to lookaside cache with fedpkg new-sources
+Source30: download-jit-stencils-from-koji.sh
+Source31: Python-%{upstream_version}-aarch64-debug-jit_stencils.h
+Source32: Python-%{upstream_version}-aarch64-optimized-jit_stencils.h
+Source33: Python-%{upstream_version}-x86_64-debug-jit_stencils.h
+Source34: Python-%{upstream_version}-x86_64-optimized-jit_stencils.h
+%global jit_stencils_source %{_sourcedir}/Python-%{upstream_version}-%{_arch}-${ConfName}-jit_stencils.h
+%global jit_stencils_filename jit_stencils-%{_arch}-redhat-linux-gnu.h
+
 # (Patches taken from github.com/fedora-python/cpython)
 
 # 00251 # 5ac6e7781923cbb3e4606e3bca381a1167d322e5
@@ -1045,6 +1066,16 @@ BuildPython() {
   $ExtraConfigArgs \
   %{nil}
 
+%if %{with jit} && %{without jit_build_stencils}
+  if [[ ! "$ConfName" =~ ^freethreading ]]; then
+    cp -a %{jit_stencils_source} %{jit_stencils_filename}
+    # Hackish way of preventing PGO task to delete the stencils.
+    # Upstream issue: https://github.com/python/cpython/issues/141808
+    # Upstream PR: https://github.com/python/cpython/pull/141809
+    sed -i '/rm -f jit_stencils.h/d' Makefile
+  fi
+%endif
+
 %global flags_override EXTRA_CFLAGS="$MoreCFlags" CFLAGS_NODIST="$CFLAGS_NODIST $MoreCFlags"
 
 %if %{without bootstrap}
@@ -1397,6 +1428,16 @@ for Module in %{buildroot}/%{dynload_dir}/*.so ; do
     esac
 done
 
+# Assert the pre-generated JIT stencils are up to date
+%if %{with jit_build_stencils}
+for ConfName in %{?with_debug_build:debug} optimized; do
+  if [ -s %{jit_stencils_source} ]; then
+    diff -u %{jit_stencils_source} build/${ConfName}/%{jit_stencils_filename}
+  else
+    echo "%{jit_stencils_source} is empty, not checking if it is up to date"
+  fi
+done
+%endif
 
 # ======================================================
 # Running the upstream test suite
diff --git a/rpmlint.toml b/rpmlint.toml
index 0864a1c..9ddef32 100644
--- a/rpmlint.toml
+++ b/rpmlint.toml
@@ -37,6 +37,9 @@ Filters = [
     # if this regex needs to be relaxed in the future, make sure it **does not** match pyc files in __pycache__
     'python-bytecode-without-source /usr/lib(64)?/python3\.\d+t?/(encodings|pydoc_data)/[^/]+.pyc',
 
+    # https://docs.fedoraproject.org/en-US/packaging-guidelines/RPM_Source_Dir/#_exceptions
+    'use-of-RPM_SOURCE_DIR',
+
     # DUPLICATE FILES
     # test data are often duplicated
     '(E|W): files-duplicate /usr/lib(64)?/python3\.\d+t?/(test|__phello__)/',
diff --git a/sources b/sources
index 3a6d2f0..8aaba44 100644
--- a/sources
+++ b/sources
@@ -1 +1,5 @@
 SHA512 (Python-3.14.0.tar.xz) = 46e9e205c3a084cba68bf7f267ab2fd0862a05430165e0eb713f2d6b3a1a4452f72f563de5de55caea824be9df56f66dd568f4814941667a9bb0954229772c53
+SHA512 (Python-3.14.0-aarch64-debug-jit_stencils.h) = 850952abc9ee83be51a67d64d013e31abd6a9e4331045ae169f684107d98fba9c91ef28fd1bf60e75c8975b600665afc9aec258b7e5b61abafa834996b16fb18
+SHA512 (Python-3.14.0-aarch64-optimized-jit_stencils.h) = d7b50e8bb2341f0404781f3f17dca9ac489efd8e25b832eb34346e4b88f3084e9c4482f981e51db4a9596df05c4138642252f52d0712dac9dda15cee21db196c
+SHA512 (Python-3.14.0-x86_64-debug-jit_stencils.h) = 51484d6b19a2483f67589c4d57f2df25f28d089a591f19c5eef6564006db5f7d5afa52181df2cd925a550e358ee5562c8f02ef0f8de7628f5f1fa242fd89a56a
+SHA512 (Python-3.14.0-x86_64-optimized-jit_stencils.h) = c84dda9956690faf372a09d9a532311d975ae69c4bf2a91102c30086dca16bef9a2c0ebb2f372437cfad64585e7a872db74476f5c502dc9635a25dd9e0b710d4