It had been feared that McCarthy might be ruled out for several weeks but a calf injury was not as serious as initially feared.
Ta'auso is out with a fracture in his hand and will undergo further tests this week to establish the extent of it, while Morris has a back injury which forced him to retire in the opening league game against the Ospreys.

CONNACHT Squad (v Edinburgh): Backs (10) - Fionn Carr, Gavin Duffy, Ian Keatley, Keith Matthews, Frank Murphy, Troy Nathan, Miah Nikora, Conor O'Loughlin, Brian Tuohy, Aidan Wynne.

Forwards (12) - Andrew Browne, Sean Cronin, Adrian Flavin, Jamie Hagan, Ronan Loughney, Mike McCarthy, Mike McComish, John Muldoon (capt), Johnny O'Connor, Ray Ofisa, Bernie Upton, Brett Wilkinson.