The Bath winger had been due to face Warren Gatland's side in last weekend's reverse encounter at Twickenham, which England won 33-19, only to miss out with a hip problem.
Head coach Eddie Jones said McConnochie's issue is not the same as the one that saw him sit out last time around, but his chances of playing at the Principality Stadium are in doubt.
"Ruaridh pulled up a bit sore today so we're not 100 per cent sure how he’ll be," Jones said on Friday.
"We'll find out later tonight. It's not the same injury. He's just sore, so we'll find out about it."