He is one of three keepers in the squad, with Newcastle's Shay Given first choice. Birmingham's Colin Doyle and Murphy will provide backup.
The match will take place at the Millennium Stadium in Cardiff on Saturday November 17.
"We want to finish the campaign on a high note by taking three points and finishing third, so there is plenty for us to play for," said caretaker Republic boss Don Givens, who was put in charge of the side following the sacking of Steve Staunton.
Republic squad in full: Shay Given (Newcastle), Joe Murphy (Scunthorpe), Colin Doyle (Birmingham), Steve Finnan (Liverpool), Stephen Kelly (Birmingham), Richard Dunne (Manchester City), Paul McShane (Sunderland), Andy O'Brien (Bolton), Joey O'Brien (Bolton), John O'Shea (Manchester United), Aiden McGeady (Celtic), Lee Carsley (Everton), Jonathon Douglas (Leeds), Steven Reid (Blackburn), Andy Reid (Charlton), Liam Miller (Sunderland), Stephen Hunt (Reading), Kevin Kilbane (Wigan), Robbie Keane (Tottenham), Daryl Murphy (Sunderland), Anthony Stokes (Sunderland), Kevin Doyle (Reading)