diff -Nru initramfs-tools-0.130ubuntu3.12/debian/changelog initramfs-tools-0.130ubuntu3.13/debian/changelog
--- initramfs-tools-0.130ubuntu3.12/debian/changelog	2021-03-18 18:48:17.000000000 +0000
+++ initramfs-tools-0.130ubuntu3.13/debian/changelog	2021-07-01 13:11:48.000000000 +0000
@@ -1,3 +1,9 @@
+initramfs-tools (0.130ubuntu3.13) bionic; urgency=medium
+
+  * Backport zstd and lz4 support from focal. LP: #1932542
+
+ -- Dimitri John Ledkov <dimitri.ledkov@canonical.com>  Thu, 01 Jul 2021 14:11:48 +0100
+
 initramfs-tools (0.130ubuntu3.12) bionic; urgency=medium
 
   * scripts/local-premount/resume:
diff -Nru initramfs-tools-0.130ubuntu3.12/mkinitramfs initramfs-tools-0.130ubuntu3.13/mkinitramfs
--- initramfs-tools-0.130ubuntu3.12/mkinitramfs	2021-03-18 18:48:17.000000000 +0000
+++ initramfs-tools-0.130ubuntu3.13/mkinitramfs	2021-07-01 13:10:15.000000000 +0000
@@ -152,6 +152,8 @@
 fi
 
 [ "${compress}" = lzop ] && compress="lzop -9"
+[ "${compress}" = lz4 ] && compress="lz4 -9 -l"
+[ "${compress}" = zstd ] && compress="zstd -q -19 -T0"
 [ "${compress}" = xz ] && compress="xz --check=crc32"
 
 if [ -d "${outfile}" ]; then
diff -Nru initramfs-tools-0.130ubuntu3.12/unmkinitramfs initramfs-tools-0.130ubuntu3.13/unmkinitramfs
--- initramfs-tools-0.130ubuntu3.12/unmkinitramfs	2021-03-18 18:48:17.000000000 +0000
+++ initramfs-tools-0.130ubuntu3.13/unmkinitramfs	2021-07-01 13:11:30.000000000 +0000
@@ -16,8 +16,12 @@
 
 	if zcat -t "$archive" >/dev/null 2>&1 ; then
 		zcat "$archive"
+	elif zstd -q -c -t "$archive" >/dev/null 2>&1 ; then
+		zstd -q -c -d "$archive"
 	elif xzcat -t "$archive" >/dev/null 2>&1 ; then
 		xzcat "$archive"
+	elif lz4cat -t < "$archive" >/dev/null 2>&1 ; then
+		lz4cat "$archive"
 	elif bzip2 -t "$archive" >/dev/null 2>&1 ; then
 		bzip2 -c -d "$archive"
 	elif lzop -t "$archive" >/dev/null 2>&1 ; then