Rockmount believe that prospects are good that O'Shea will be passed fit to play but Cunningham's prospects are thought not to be as bright.
The loss of either player would be a blow to the Cork side as they hope to win the Cup for the second time and compensate a little for their loss in last season's final to another Dublin side, Belgrove United.
Their only previous success was achieved back in 1999 and they are well aware that in Bluebell United they will be playing the competition specialists.
Bluebell have won the Cup a record five times, last time in 2000 when they beat Cork side St. Mary's in a replay of the final.
Bluebell are in mid-table in the Leinster Senior League but their Cup-fighting qualities have always been recognised.
Their second team, who play in a Saturday league, also have ambitions of cup success this season for they have reached the final of the Lanigan Cup.
Bluebell promise to create a little bit of history in tomorrow's final regardless of the result.
They should have three brothers in their team - Ken, Kevin and Stewart Smith - who transferred to the club from Dublin Bus at the beginning of the season.
Rockmount, who introduced Roy Keane to football, will have his brother Pat in midfield and their proud boast this season is that they have conceded only one goal in eight cup matches.
With wins over two other Dublin teams, Moyle Park and Belgrove, as well as Letterkenny of Donegal behind them, they are determined to go one step better than last season.