Morgan has been struggling with the problem this season and has now gone under the knife.
The 20 year old is relishing the chance of winning regular first-team football at Bramall Lane.
Batth said: "I only joined up with the lads on Friday for the last training session and then it was off down to Bristol in the afternoon, but I was just as disappointed at how things went as everyone else.
"It's a great opportunity for me to be involved at first-team level and possibly get some games.
"I'm a big lad and compete, but like to think that I can play a bit as well."