The British number one has not played since losing to Marin Cilic at Wimbledon last month but says he will be fit for the final Grand Slam of the year after sitting out both the Canadian and Cincinnati Opens as he focused on his recovery.
Draper told the LTA: "I found out I had an injury in my arm, which I had been playing with for a little while.
"The doctors and my team advised me that I’d need to take some time out. I had a few days off, so I chilled and took my mind off tennis. Then I was really motivated to come back and do a really good fitness block and work myself hard physically to make some good gains.
"I got back to my tennis slowly to protect my arm, but it’s been a really productive few weeks now. It was disappointing to miss Toronto and Cincinnati, but I think it’s been a good period for me to reflect on things and improve.
"I’m really looking forward to going out to the US Open, and I’m in a great place personally and tennis-wise. I feel refreshed, motivated, and I can’t wait to get back out there."
Draper reached the semi-finals at the US Open last year and is aiming to go further at Flushing Meadows this time as he bids for a maiden major title.
The world number five said: "Last year’s US Open was amazing – I reflect on it with really positive memories. It gave me so much confidence and set me up for what was to come for the rest of the year and also the start of this year.
"Pushing through five best-of-five set matches, against the best players in the world on the biggest stages – that just gives me so much belief. It was a big moment for me and probably one of the biggest in my career so far.
"For me, the atmosphere is the best at the US Open. I love the crowd dynamic, the rowdiness, and I just really enjoy the surroundings and what it brings. It’s a lively, energetic crowd, and that gets the best out of me for sure."