The 21-year-old broke his ankle on Matchday 33 of the 2016/17 campaign away to Augsburg and subsequently underwent surgery and a course of rehabilitation.
Speaking at the club's pre-season training camp in Bad Ragaz, Switzerland on Friday, Weigl spoke of reaching a "milestone" in his recovery after running again for the first time since suffering the injury.
"I'm doing really well," he said. "You work towards running again because that's how you can make the most progress and build up the muscle again. There haven't been any setbacks. My leg never swelled up or got warm. After the international break following Matchday 2 I might be able to return to full training with the team."
While no timescale has been set for Weigl to make his Bundesliga comeback, if his recovery continues to go to plan then he should be able to play again well before the winter break in December.
Watch: Weigl: "Delighted to be back!"
In the meantime, however, Weigl is simply happy that progress is being made while spending time with his team-mates: "I'm delighted to be here to have the feeling that I'm part of the team. It's important for me to be in the meetings in order to be able to take on board the new coach's philosophy."