The 20-year-old picked up a cartilage issue while on loan with Swindon Town last season and was forced to undergo surgery before a long recovery phase.
"It's a massive challenge for me," Williams told Liverpoolfc.com.
“I've been in over the close season working with the physios, working hard on my fitness. I'm looking forward to getting back with the team and starting training again.
“I've been through a tough time with the injury and you want to be back as quickly as possible but I think I've got to take my time to get back.
“I know I'm not going to be fully fit and match fit straight away, but I think I can get that back. I feel fit in myself now, but training compared to playing in a match is completely different. When I can get my match fitness back I think I will be in a good place."