diff --git a/stand/libsa/bzipfs.c b/stand/libsa/bzipfs.c
index 47380ae72e5..bb67bda2aa1 100644
--- a/stand/libsa/bzipfs.c
+++ b/stand/libsa/bzipfs.c
@@ -340,6 +340,9 @@ bzf_seek(struct open_file *f, off_t offset, int where)
 	    target - bzf->bzf_bzstream.total_out_lo32), NULL);
 	if (errno)
 	    return(-1);
+	/* Break out of loop if end of file has been reached. */
+	if (bzf->bzf_endseen)
+	    break;
     }
     /* This is where we are (be honest if we overshot) */
     return(bzf->bzf_bzstream.total_out_lo32);
diff --git a/stand/libsa/gzipfs.c b/stand/libsa/gzipfs.c
index 39e2f98eb1e..8154b0f95a9 100644
--- a/stand/libsa/gzipfs.c
+++ b/stand/libsa/gzipfs.c
@@ -315,6 +315,9 @@ zf_seek(struct open_file *f, off_t offset, int where)
 	    target - zf->zf_zstream.total_out), NULL);
 	if (errno)
 	    return(-1);
+	/* Break out of loop if end of file has been reached. */
+	if (zf->zf_endseen)
+	    break;
     }
     /* This is where we are (be honest if we overshot) */
     return(zf->zf_zstream.total_out);