Index: lang/python36/Makefile
===================================================================
--- lang/python36/Makefile
+++ lang/python36/Makefile
@@ -123,6 +123,17 @@
 PLIST_SUB+=	NO_NIS=""
 .endif
 
+post-patch:
+# Building _lzma extension fails if archivers/lzmalib is installed.
+# This way Python will always link with lzma from base (libarchive).
+# https://bugs.freebsd.org/bugzilla/show_bug.cgi?id=209355
+# Eventually we can build it against archivers/lzma, but currently
+# the port does not provide header and libraries.
+.if exists(${LOCALBASE}/lib/liblzma.so)
+	@${ECHO_CMD} -e '*shared*\n_lzma _lzmamodule.c -I/usr/include -L/usr/lib -l:liblzma.so.5\n' \
+		> ${WRKSRC}/Modules/Setup.local
+.endif
+
 post-install:
 .if ! ${PORT_OPTIONS:MDEBUG}
 	${RM} ${STAGEDIR}${PREFIX}/lib/libpython3.so						# Upstream Issue: https://bugs.python.org/issue17975
Index: lang/python37/Makefile
===================================================================
--- lang/python37/Makefile
+++ lang/python37/Makefile
@@ -112,6 +112,16 @@
 # which introduces hidden dependency and breaks build
 	@${REINPLACE_CMD} -e 's|uuid/uuid.h|ignore_&|' ${WRKSRC}/configure
 	@${REINPLACE_CMD} -e '/find_library_file/ s|uuid|ignore_&|' ${WRKSRC}/setup.py
+# Building _lzma extension fails if archivers/lzmalib is installed.
+# This way Python will always link with lzma from base (libarchive).
+# https://bugs.freebsd.org/bugzilla/show_bug.cgi?id=209355
+# Eventually we can build it against archivers/lzma, but currently
+# the port does not provide header and libraries.
+.if exists(${LOCALBASE}/lib/liblzma.so)
+	@${ECHO_CMD} -e '*shared*\n_lzma _lzmamodule.c -I/usr/include -L/usr/lib -l:liblzma.so.5\n' \
+		> ${WRKSRC}/Modules/Setup.local
+.endif
+
 
 post-install:
 .if ! ${PORT_OPTIONS:MDEBUG}
Index: lang/python38/Makefile
===================================================================
--- lang/python38/Makefile
+++ lang/python38/Makefile
@@ -119,6 +119,15 @@
 # which introduces hidden dependency and breaks build
 	@${REINPLACE_CMD} -e 's|uuid/uuid.h|ignore_&|' ${WRKSRC}/configure
 	@${REINPLACE_CMD} -e '/find_library_file/ s|uuid|ignore_&|' ${WRKSRC}/setup.py
+# Building _lzma extension fails if archivers/lzmalib is installed.
+# This way Python will always link with lzma from base (libarchive).
+# https://bugs.freebsd.org/bugzilla/show_bug.cgi?id=209355
+# Eventually we can build it against archivers/lzma, but currently
+# the port does not provide header and libraries.
+.if exists(${LOCALBASE}/lib/liblzma.so)
+	@${ECHO_CMD} -e '*shared*\n_lzma _lzmamodule.c -I/usr/include -L/usr/lib -l:liblzma.so.5\n' \
+		> ${WRKSRC}/Modules/Setup.local
+.endif
 
 post-install:
 .if ! ${PORT_OPTIONS:MDEBUG}