The Blues pair have been named in manager Brian Kerr's side for the international friendly in Bydgoszcz which can be seen live on Sky Sports One - kick-off 5pm.
Cunningham will again skipper the Irish in this his 54th appearance for his country while Morrison spearheads the Ireland attack in what will be his 18th appearance for his country.
Republic of Ireland Team: Given (Newcastle Utd); O’Shea (Manchester Utd), Cunningham (Birmingham City), Doherty (Tottenham), Harte (Leeds), S Reid (Blackburn), Kinsella (West Brom), Miller (Celtic), A. Reid (Nottingham Forest); Morrison (Birmingham City), Lee (Cardiff).