diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml
index c15e394f09..72f8b8aa51 100644
--- a/.gitlab-ci.yml
+++ b/.gitlab-ci.yml
@@ -21,6 +21,7 @@ build-system2:
  script:
  - apt-get install -y -qq libsdl2-dev libgcrypt-dev libbrlapi-dev libaio-dev
       libfdt-dev liblzo2-dev librdmacm-dev libibverbs-dev libibumad-dev
+      libzstd-dev
  - mkdir build
  - cd build
  - ../configure --enable-werror --target-list="tricore-softmmu unicore32-softmmu
diff --git a/.travis.yml b/.travis.yml
index f4020dcc6c..9867272177 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -49,6 +49,7 @@ addons:
       - libusb-1.0-0-dev
       - libvdeplug-dev
       - libvte-2.91-dev
+      - libzstd-dev
       - sparse
       - uuid-dev
       - gcovr
diff --git a/configure b/configure
index 48d6f89d57..7b373bc0bb 100755
--- a/configure
+++ b/configure
@@ -449,6 +449,7 @@ lzo=""
 snappy=""
 bzip2=""
 lzfse=""
+zstd=""
 guest_agent=""
 guest_agent_with_vss="no"
 guest_agent_ntddscsi="no"
@@ -1371,6 +1372,10 @@ for opt do
   ;;
   --disable-lzfse) lzfse="no"
   ;;
+  --disable-zstd) zstd="no"
+  ;;
+  --enable-zstd) zstd="yes"
+  ;;
   --enable-guest-agent) guest_agent="yes"
   ;;
   --disable-guest-agent) guest_agent="no"
@@ -1829,6 +1834,8 @@ disabled with --disable-FEATURE, default is enabled if available:
                   (for reading bzip2-compressed dmg images)
   lzfse           support of lzfse compression library
                   (for reading lzfse-compressed dmg images)
+  zstd            support for zstd compression library
+                  (for migration compression)
   seccomp         seccomp support
   coroutine-pool  coroutine freelist (better performance)
   glusterfs       GlusterFS backend
@@ -2453,6 +2460,24 @@ EOF
     fi
 fi
 
+##########################################
+# zstd check
+
+if test "$zstd" != "no" ; then
+    if $pkg_config --exist libzstd ; then
+        zstd_cflags="$($pkg_config --cflags libzstd)"
+        zstd_libs="$($pkg_config --libs libzstd)"
+        LIBS="$zstd_libs $LIBS"
+        QEMU_CFLAGS="$QEMU_CFLAGS $zstd_cflags"
+        zstd="yes"
+    else
+        if test "$zstd" = "yes" ; then
+            feature_not_found "libzstd" "Install libzstd devel"
+        fi
+        zstd="no"
+    fi
+fi
+
 ##########################################
 # libseccomp check
 
@@ -6668,6 +6693,7 @@ echo "lzo support       $lzo"
 echo "snappy support    $snappy"
 echo "bzip2 support     $bzip2"
 echo "lzfse support     $lzfse"
+echo "zstd support      $zstd"
 echo "NUMA host support $numa"
 echo "libxml2           $libxml2"
 echo "tcmalloc support  $tcmalloc"
@@ -7242,6 +7268,10 @@ if test "$lzfse" = "yes" ; then
   echo "LZFSE_LIBS=-llzfse" >> $config_host_mak
 fi
 
+if test "$zstd" = "yes" ; then
+  echo "CONFIG_ZSTD=y" >> $config_host_mak
+fi
+
 if test "$libiscsi" = "yes" ; then
   echo "CONFIG_LIBISCSI=m" >> $config_host_mak
   echo "LIBISCSI_CFLAGS=$libiscsi_cflags" >> $config_host_mak
diff --git a/tests/docker/dockerfiles/centos7.docker b/tests/docker/dockerfiles/centos7.docker
index 562d65be9e..cdd72de7eb 100644
--- a/tests/docker/dockerfiles/centos7.docker
+++ b/tests/docker/dockerfiles/centos7.docker
@@ -33,6 +33,7 @@ ENV PACKAGES \
     tar \
     vte-devel \
     xen-devel \
-    zlib-devel
+    zlib-devel \
+    libzstd-devel
 RUN yum install -y $PACKAGES
 RUN rpm -q $PACKAGES | sort > /packages.txt
diff --git a/tests/docker/dockerfiles/fedora-i386-cross.docker b/tests/docker/dockerfiles/fedora-i386-cross.docker
index 9106cf9ebe..cd16cd1bfa 100644
--- a/tests/docker/dockerfiles/fedora-i386-cross.docker
+++ b/tests/docker/dockerfiles/fedora-i386-cross.docker
@@ -7,7 +7,8 @@ ENV PACKAGES \
     gnutls-devel.i686 \
     nettle-devel.i686 \
     pixman-devel.i686 \
-    zlib-devel.i686
+    zlib-devel.i686 \
+    libzstd-devel.i686
 
 RUN dnf install -y $PACKAGES
 RUN rpm -q $PACKAGES | sort > /packages.txt
diff --git a/tests/docker/dockerfiles/fedora.docker b/tests/docker/dockerfiles/fedora.docker
index 987a3c170a..a6522228c0 100644
--- a/tests/docker/dockerfiles/fedora.docker
+++ b/tests/docker/dockerfiles/fedora.docker
@@ -92,7 +92,8 @@ ENV PACKAGES \
     vte291-devel \
     which \
     xen-devel \
-    zlib-devel
+    zlib-devel \
+    libzstd-devel
 ENV QEMU_CONFIGURE_OPTS --python=/usr/bin/python3
 
 RUN dnf install -y $PACKAGES
diff --git a/tests/docker/dockerfiles/ubuntu.docker b/tests/docker/dockerfiles/ubuntu.docker
index 4177f33691..b6c7b41ddd 100644
--- a/tests/docker/dockerfiles/ubuntu.docker
+++ b/tests/docker/dockerfiles/ubuntu.docker
@@ -58,6 +58,7 @@ ENV PACKAGES flex bison \
     libvdeplug-dev \
     libvte-2.91-dev \
     libxen-dev \
+    libzstd-dev \
     make \
     python3-yaml \
     python3-sphinx \
diff --git a/tests/docker/dockerfiles/ubuntu1804.docker b/tests/docker/dockerfiles/ubuntu1804.docker
index 0766f94cf4..1efedeef99 100644
--- a/tests/docker/dockerfiles/ubuntu1804.docker
+++ b/tests/docker/dockerfiles/ubuntu1804.docker
@@ -44,6 +44,7 @@ ENV PACKAGES flex bison \
     libvdeplug-dev \
     libvte-2.91-dev \
     libxen-dev \
+    libzstd-dev \
     make \
     python3-yaml \
     python3-sphinx \
diff --git a/tests/vm/fedora b/tests/vm/fedora
index 4d7d6049f4..4843b4175e 100755
--- a/tests/vm/fedora
+++ b/tests/vm/fedora
@@ -53,7 +53,10 @@ class FedoraVM(basevm.BaseVM):
         # libs: audio
         '"pkgconfig(libpulse)"',
         '"pkgconfig(alsa)"',
-    ]
+
+        # libs: migration
+        '"pkgconfig(libzstd)"',
+]
 
     BUILD_SCRIPT = """
         set -e;
diff --git a/tests/vm/freebsd b/tests/vm/freebsd
index fb54334696..86770878b6 100755
--- a/tests/vm/freebsd
+++ b/tests/vm/freebsd
@@ -55,6 +55,9 @@ class FreeBSDVM(basevm.BaseVM):
         # libs: opengl
         "libepoxy",
         "mesa-libs",
+
+        # libs: migration
+        "zstd",
     ]
 
     BUILD_SCRIPT = """
diff --git a/tests/vm/netbsd b/tests/vm/netbsd
index c5069a45f4..55590f4601 100755
--- a/tests/vm/netbsd
+++ b/tests/vm/netbsd
@@ -49,6 +49,9 @@ class NetBSDVM(basevm.BaseVM):
         "SDL2",
         "gtk3+",
         "libxkbcommon",
+
+        # libs: migration
+        "zstd",
     ]
 
     BUILD_SCRIPT = """
diff --git a/tests/vm/openbsd b/tests/vm/openbsd
index 22cd9513dd..ab6abbedab 100755
--- a/tests/vm/openbsd
+++ b/tests/vm/openbsd
@@ -51,6 +51,9 @@ class OpenBSDVM(basevm.BaseVM):
         "sdl2",
         "gtk+3",
         "libxkbcommon",
+
+        # libs: migration
+        "zstd",
     ]
 
     BUILD_SCRIPT = """