diff --git a/archive/tar/reader.go b/archive/tar/reader.go
index 1f57508..7d05d7d 100644
--- a/archive/tar/reader.go
+++ b/archive/tar/reader.go
@@ -871,9 +871,13 @@ func (tr *Reader) numBytes() int64 {
 // It returns 0, io.EOF when it reaches the end of that entry,
 // until Next is called to advance to the next entry.
 func (tr *Reader) Read(b []byte) (n int, err error) {
+	if tr.err != nil {
+		return 0, tr.err
+	}
 	if tr.curr == nil {
 		return 0, io.EOF
 	}
+
 	n, err = tr.curr.Read(b)
 	if err != nil && err != io.EOF {
 		tr.err = err