Grygera has undergone two operations after suffering an anterior cruciate ligament rupture against Tottenham earlier this season.
“I’m feeling really positive about my knee and my recovery from injury,” the 31-year-old told his club’s official website.
“I had two surgeries with Dr Richard Steadman, one before Christmas and one in February. Dr Steadman told me after the second surgery the recovery should be five or six months.
“With how I feel right now, I think the maximum will be five months but we will see later on when I start to run.
“On Thursday, it will be six weeks since my surgery and I’ll start to do more in terms of my recovery now.
“I’ll be doing more on the bike and working on the upper body in the gym, but I feel very good.”
Grygera joined Fulham from Juventus last summer.