The draw for round five was made at half-time of Liverpool's home clash with Norwich City and following Wolves' progress against local rivals West Brom, after the Black Country derby was held up in the second half due to problems in the crowd.
Former England defender Glen Johnson was the guest as the live ITV broadcast covered the event, with Newport or the Reds handed an away clash at either Bristol City or Nottingham Forest.
Those two sides must replay at The City Ground, after a 0-0 draw at Ashton Gate on Friday night.