diff --git a/projects/ffmpeg/Dockerfile b/projects/ffmpeg/Dockerfile
index ea4a43f1c992..55f4c2ca0f3a 100644
--- a/projects/ffmpeg/Dockerfile
+++ b/projects/ffmpeg/Dockerfile
@@ -20,7 +20,8 @@ RUN curl -LO https://mirrors.kernel.org/ubuntu/pool/main/a/automake-1.16/automak
     apt install ./automake_1.16.5-1.3_all.deb
 RUN curl -LO https://mirrors.kernel.org/ubuntu/pool/main/a/autoconf/autoconf_2.72-3_all.deb && \
     apt install ./autoconf_2.72-3_all.deb
-RUN python3 -m pip install --upgrade pip && python3 -m pip install -U meson ninja
+# Meson is pinned to get around https://github.com/mesonbuild/meson/issues/14533
+RUN python3 -m pip install --upgrade pip && python3 -m pip install -U meson==1.7.2 ninja
 
 RUN git clone https://git.ffmpeg.org/ffmpeg.git ffmpeg
 
diff --git a/projects/ffmpeg/build.sh b/projects/ffmpeg/build.sh
index 50c906894f4c..13e50d6e715b 100755
--- a/projects/ffmpeg/build.sh
+++ b/projects/ffmpeg/build.sh
@@ -64,7 +64,7 @@ meson_install() {
   cd $SRC/$1
   CFLAGS="$MESON_CFLAGS" CXXFLAGS="$MESON_CXXFLAGS" \
   meson setup build -Dprefix="$FFMPEG_DEPS_PATH" -Ddefault_library=static -Dprefer_static=true \
-                    --libdir "$LIBDIR" ${2:-}
+                    --wrap-mode=nofallback --libdir "$LIBDIR" ${2:-}
   meson compile -C build
   meson install -C build
 }
@@ -85,10 +85,10 @@ make clean
 make -j$(nproc)
 make install
 
-meson_install freetype
+meson_install freetype "-Dharfbuzz=disabled"
 meson_install fribidi "-Ddocs=false -Dtests=false"
 meson_install harfbuzz "-Ddocs=disabled -Dtests=disabled"
-meson_install fontconfig
+meson_install fontconfig "-Dtests=disabled -Dtools=disabled"
 
 cd $SRC/libass
 ./autogen.sh