diff --git a/block/qcow2-snapshot.c b/block/qcow2-snapshot.c
index 82c32d4c9b..2756b37d24 100644
--- a/block/qcow2-snapshot.c
+++ b/block/qcow2-snapshot.c
@@ -23,6 +23,7 @@
  */
 
 #include "qemu/osdep.h"
+#include "sysemu/block-backend.h"
 #include "qapi/error.h"
 #include "qcow2.h"
 #include "qemu/bswap.h"
@@ -775,10 +776,21 @@ int qcow2_snapshot_goto(BlockDriverState *bs, const char *snapshot_id)
     }
 
     if (sn->disk_size != bs->total_sectors * BDRV_SECTOR_SIZE) {
-        error_report("qcow2: Loading snapshots with different disk "
-            "size is not implemented");
-        ret = -ENOTSUP;
-        goto fail;
+        BlockBackend *blk = blk_new_with_bs(bs, BLK_PERM_RESIZE, BLK_PERM_ALL,
+                                            &local_err);
+        if (!blk) {
+            error_report_err(local_err);
+            ret = -ENOTSUP;
+            goto fail;
+        }
+
+        ret = blk_truncate(blk, sn->disk_size, true, PREALLOC_MODE_OFF, 0,
+                           &local_err);
+        blk_unref(blk);
+        if (ret < 0) {
+            error_report_err(local_err);
+            goto fail;
+        }
     }
 
     /*
diff --git a/block/qcow2.c b/block/qcow2.c
index 0edc7f4643..3e8b3d022b 100644
--- a/block/qcow2.c
+++ b/block/qcow2.c
@@ -3989,9 +3989,12 @@ static int coroutine_fn qcow2_co_truncate(BlockDriverState *bs, int64_t offset,
 
     qemu_co_mutex_lock(&s->lock);
 
-    /* cannot proceed if image has snapshots */
-    if (s->nb_snapshots) {
-        error_setg(errp, "Can't resize an image which has snapshots");
+    /*
+     * Even though we store snapshot size for all images, it was not
+     * required until v3, so it is not safe to proceed for v2.
+     */
+    if (s->nb_snapshots && s->qcow_version < 3) {
+        error_setg(errp, "Can't resize a v2 image which has snapshots");
         ret = -ENOTSUP;
         goto fail;
     }
@@ -5005,6 +5008,7 @@ static int qcow2_downgrade(BlockDriverState *bs, int target_version,
     BDRVQcow2State *s = bs->opaque;
     int current_version = s->qcow_version;
     int ret;
+    int i;
 
     /* This is qcow2_downgrade(), not qcow2_upgrade() */
     assert(target_version < current_version);
@@ -5022,6 +5026,21 @@ static int qcow2_downgrade(BlockDriverState *bs, int target_version,
         return -ENOTSUP;
     }
 
+    /*
+     * If any internal snapshot has a different size than the current
+     * image size, or VM state size that exceeds 32 bits, downgrading
+     * is unsafe.  Even though we would still use v3-compliant output
+     * to preserve that data, other v2 programs might not realize
+     * those optional fields are important.
+     */
+    for (i = 0; i < s->nb_snapshots; i++) {
+        if (s->snapshots[i].vm_state_size > UINT32_MAX ||
+            s->snapshots[i].disk_size != bs->total_sectors * BDRV_SECTOR_SIZE) {
+            error_setg(errp, "Internal snapshots prevent downgrade of image");
+            return -ENOTSUP;
+        }
+    }
+
     /* clear incompatible features */
     if (s->incompatible_features & QCOW2_INCOMPAT_DIRTY) {
         ret = qcow2_mark_clean(bs);
diff --git a/tests/qemu-iotests/061 b/tests/qemu-iotests/061
index ce285d3084..10eb243164 100755
--- a/tests/qemu-iotests/061
+++ b/tests/qemu-iotests/061
@@ -111,6 +111,41 @@ $PYTHON qcow2.py "$TEST_IMG" dump-header
 $QEMU_IO -c "read -P 0x2a 42M 64k" "$TEST_IMG" | _filter_qemu_io
 _check_test_img
 
+echo
+echo "=== Testing resize with snapshots ==="
+echo
+_make_test_img -o "compat=0.10" 32M
+$QEMU_IO -c "write -P 0x2a 24M 64k" "$TEST_IMG" | _filter_qemu_io
+$QEMU_IMG snapshot -c foo "$TEST_IMG"
+$QEMU_IMG resize "$TEST_IMG" 64M &&
+    echo "unexpected pass"
+$PYTHON qcow2.py "$TEST_IMG" dump-header | grep '^\(version\|size\|nb_snap\)'
+
+$QEMU_IMG amend -o "compat=1.1,size=128M" "$TEST_IMG" ||
+    echo "unexpected fail"
+$PYTHON qcow2.py "$TEST_IMG" dump-header | grep '^\(version\|size\|nb_snap\)'
+
+$QEMU_IMG snapshot -c bar "$TEST_IMG"
+$QEMU_IMG resize --shrink "$TEST_IMG" 64M ||
+    echo "unexpected fail"
+$PYTHON qcow2.py "$TEST_IMG" dump-header | grep '^\(version\|size\|nb_snap\)'
+
+$QEMU_IMG amend -o "compat=0.10,size=32M" "$TEST_IMG" &&
+    echo "unexpected pass"
+$PYTHON qcow2.py "$TEST_IMG" dump-header | grep '^\(version\|size\|nb_snap\)'
+
+$QEMU_IMG snapshot -a bar "$TEST_IMG" ||
+    echo "unexpected fail"
+$PYTHON qcow2.py "$TEST_IMG" dump-header | grep '^\(version\|size\|nb_snap\)'
+
+$QEMU_IMG snapshot -d bar "$TEST_IMG"
+$QEMU_IMG amend -o "compat=0.10,size=32M" "$TEST_IMG" ||
+    echo "unexpected fail"
+$PYTHON qcow2.py "$TEST_IMG" dump-header | grep '^\(version\|size\|nb_snap\)'
+
+_check_test_img
+
+
 echo
 echo "=== Testing dirty lazy_refcounts=off ==="
 echo
diff --git a/tests/qemu-iotests/061.out b/tests/qemu-iotests/061.out
index 413cc4e0f4..5a8d36d005 100644
--- a/tests/qemu-iotests/061.out
+++ b/tests/qemu-iotests/061.out
@@ -271,6 +271,34 @@ read 65536/65536 bytes at offset 44040192
 64 KiB, X ops; XX:XX:XX.X (XXX YYY/sec and XXX ops/sec)
 No errors were found on the image.
 
+=== Testing resize with snapshots ===
+
+Formatting 'TEST_DIR/t.IMGFMT', fmt=IMGFMT size=33554432
+wrote 65536/65536 bytes at offset 25165824
+64 KiB, X ops; XX:XX:XX.X (XXX YYY/sec and XXX ops/sec)
+qemu-img: Can't resize a v2 image which has snapshots
+version                   2
+size                      33554432
+nb_snapshots              1
+version                   3
+size                      134217728
+nb_snapshots              1
+Image resized.
+version                   3
+size                      67108864
+nb_snapshots              2
+qemu-img: Internal snapshots prevent downgrade of image
+version                   3
+size                      33554432
+nb_snapshots              2
+version                   3
+size                      134217728
+nb_snapshots              2
+version                   2
+size                      33554432
+nb_snapshots              1
+No errors were found on the image.
+
 === Testing dirty lazy_refcounts=off ===
 
 Formatting 'TEST_DIR/t.IMGFMT', fmt=IMGFMT size=67108864