diff --git a/msgpack/_unpacker.pyx b/msgpack/_unpacker.pyx
index e0463617..30ef5e8a 100644
--- a/msgpack/_unpacker.pyx
+++ b/msgpack/_unpacker.pyx
@@ -168,6 +168,7 @@ def unpackb(object packed, *, object object_hook=None, object list_hook=None,
     cdef char* buf = NULL
     cdef Py_ssize_t buf_len
     cdef const char* cerr = NULL
+    cdef object extra = None
 
     if unicode_errors is not None:
         cerr = unicode_errors
@@ -190,13 +191,17 @@ def unpackb(object packed, *, object object_hook=None, object list_hook=None,
                  use_list, raw, timestamp, strict_map_key, cerr,
                  max_str_len, max_bin_len, max_array_len, max_map_len, max_ext_len)
         ret = unpack_construct(&ctx, buf, buf_len, &off)
+        if ret == 1 and off < buf_len:
+            # buf may point into a temporary contiguous copy owned by view,
+            # so the extra data must be copied out before releasing view.
+            extra = PyBytes_FromStringAndSize(buf+off, buf_len-off)
     finally:
         PyBuffer_Release(&view);
 
     if ret == 1:
         obj = unpack_data(&ctx)
-        if off < buf_len:
-            raise ExtraData(obj, PyBytes_FromStringAndSize(buf+off, buf_len-off))
+        if extra is not None:
+            raise ExtraData(obj, extra)
         return obj
 
     unpack_clear(&ctx)
diff --git a/test/test_memoryview.py b/test/test_memoryview.py
index 3f6a39d4..fd124dce 100644
--- a/test/test_memoryview.py
+++ b/test/test_memoryview.py
@@ -2,7 +2,9 @@
 
 from array import array
 
-from msgpack import packb, unpackb
+from pytest import raises
+
+from msgpack import ExtraData, packb, unpackb
 
 
 def make_array(f, data):
@@ -109,3 +111,20 @@ def test_unpack_noncontiguous_memoryview():
     noncont = memoryview(bytes(padded))[::2]
     assert not noncont.c_contiguous
     assert unpackb(noncont) == 2**32
+
+
+def test_unpack_noncontiguous_memoryview_extra_data():
+    # See https://github.com/msgpack/msgpack-python/issues/720
+    # ExtraData.extra must be copied out of the temporary contiguous copy
+    # before that copy is released.
+    packed = packb(0) + b"extra"
+    padded = bytearray()
+    for byte in packed:
+        padded.append(byte)
+        padded.append(0)
+    noncont = memoryview(bytes(padded))[::2]
+    assert not noncont.c_contiguous
+    with raises(ExtraData) as excinfo:
+        unpackb(noncont)
+    assert excinfo.value.unpacked == 0
+    assert excinfo.value.extra == b"extra"