The Liverpool skipper has been out for three matches after undergoing surgery on a groin problem on March 10.
However, he is optimistic of being available to face former Reds boss Roy Hodgson at the Hawthorns on Saturday.
"I'm hoping to be in full training on Thursday and available for selection for the weekend," he said.
"It's up to Kenny whether he thinks I'm ready or not. I'm really looking forward to getting back.
"Our league form since Kenny came in is the best in the league so it's really positive," Gerrard told talkSPORT. "He is a player's manager. Players like playing for him because he talks to them, he's honest with them.
"We're hoping Kenny can bring the glory days back. We know there's a lot of hard work to do yet but there has been an improvement.
"We're just going to try to win the rest of our games and try to finish as high as we can. The aim for us is to try and sneak back into Europe come the end of the season.
"We believe now that we've got the most feared strikeforce in the league. One thing that's important to remember with Andy is that he's superb on the floor.
"If we are in a difficult game or we are chasing a game we can be more direct but the good thing is because we can mix it up, we can play either way now.
"We can play in behind, we can play long, and with Suarez running off him.I It gives us a whole new dimension."
