The 34-year-old, England's most prolific wicket-taker in tests, sustained a stress fracture during the home series against Sri Lanka in June, although he did play three matches against Pakistan in July and August.
He was ruled out of England's tests in Bangladesh after aggravating the injury to his left shoulder blade that caused him to miss the first test against Pakistan.
"I feel fine," Anderson told ESPNcricinfo at Lord's. "It's a frustrating injury where everything feels good, the rest of my body feels great, but as soon as I try to bowl I've got a bit of pain there.
"It's something that's going to take a few more weeks to rest and recover. I've got another scan in three weeks to see if it's healed enough for me to start bowling."
England's director of cricket, Andrew Strauss, recently said he was unsure when Anderson would return to the side with the five-test series against India starting in Rajkot on Nov. 9.
Anderson, who has amassed 463 wickets in the five-day format, hopes to be fully fit to take on the world's top-ranked test side in conditions that are unlikely to assist the pacemen.
"I'm not going to miss the entire trip, no," he said.
"I'm very confident I'm going to be involved in the India series, it is a frustrating injury, something I want to get right, but it does happen in cricket.
"In sport, you get injured, you've just got to deal with it and hopefully I can get as fit as possible as soon as possible."
(Writing by Sudipto Ganguly in Mumbai; Editing by John O'Brien)
