The 22-year-old Liverpool keeper is one of three men trying to establish their senior international credentials over the next week or so in the absence of injured number one Darren Randolph for friendlies against Andorra and Hungary.
Kelleher has five senior club appearances to his name this season, most notably against Ajax and FC Midtjylland in the Champions League, but the excellence of Brazil international Alisson has meant he has had to remain patient.
Kenny said: “You need to play games and you have that dilemma. Of course Gavin got a lot of games in League One this year.
“Caoimhin got some games at Liverpool – but it’s very, very hard to play at Liverpool because you’ve got one of the top goalkeepers in the world, Alisson, playing ahead of him and it is difficult.
“Ideally, you’d want Caoimhin to go and play regular games because he’s probably potentially one of the best goalkeepers that we’ve had, and yet we won’t know that unless he continually plays games, so that’s interesting.
“Gavin has really emerged; Mark likewise needs games – his loan spell was cut short this season and he needs games. Gavin came in against Luxembourg and Qatar and played very, very well, it must be said.
“He impressed and showed great composure and a fair presence, so there are decisions to be made there. They’re not straightforward, so we’ll have to consider all of that and see.”