The 26-year-old has been out of action since February, when he suffered a medial ligament tear in a Premier League match at Southampton.
Although most of his team-mates are away on their summer holidays, Carroll has stayed behind at the club’s training ground to work on his recovery.
He has recently resumed light running and hopes to be back out on the training pitch kicking a ball in the near future.
“The injury is going well and I have pretty much been in every day working on it and strengthening the injury. I started jogging and it is all getting better,” Carroll told his club’s official website.
“I have been in the gym a long time now and it is nice to be outside going for a jog and it felt great afterwards. Hopefully I can be back out there.
“I want to step it up again and start kicking a ball but I am glad to be outside and moving again.”
Carroll has been blighted by injuries in the past two years, suffering a heel problem which kept him out of action for the first six months of the 2013/14 campaign.
The former Newcastle and Liverpool forward also missed the opening 11 games last season because of an ankle ligament injury.
West Ham begin their Europa League campaign on July 2, and the team will be back in Premier League action on the second weekend of August.