ktime_to_timespec64_cond(shhwtstamps->hwtstamp, ts))
                return TP_STATUS_TS_RAW_HARDWARE;
 
-       if (ktime_to_timespec64_cond(skb->tstamp, ts))
+       if ((flags & SOF_TIMESTAMPING_SOFTWARE) &&
+           ktime_to_timespec64_cond(skb->tstamp, ts))
                return TP_STATUS_TS_SOFTWARE;
 
        return 0;
 
        skb_copy_bits(skb, 0, h.raw + macoff, snaplen);
 
-       if (!(ts_status = tpacket_get_timestamp(skb, &ts, po->tp_tstamp)))
+       /* Always timestamp; prefer an existing software timestamp taken
+        * closer to the time of capture.
+        */
+       ts_status = tpacket_get_timestamp(skb, &ts,
+                                         po->tp_tstamp | SOF_TIMESTAMPING_SOFTWARE);
+       if (!ts_status)
                ktime_get_real_ts64(&ts);
 
        status |= ts_status;