It looked like it would mean he would be unable to play for the black, green and gold again as he is retiring from rugby this summer.
But there is a slight chance he could still have a part to play in the Premiership title push.
"Even Tom Wood strapped himself up and trained today," said forwards coach Dowson at Tuesday's media session.
Saints players can show what they are made of during hectic start to season
Victorious Conway 'counting down the seconds' to big Vegas showdown
Old and young players join for celebrations to mark 50 years of Barby Cricket Club
Ripley left frustrated as Steelbacks revert to bad habits in Lightning loss
Northampton Town boss Boothroyd gets on his bike for charity
"I don't know (if he'll feature against Leicester) because it's the first time I've seen him train and he had a considerable amount of strapping on.
"He really enjoyed it, I can tell you that from his reaction.
"We have to see how he went with that training, how many hits he took, see if he trains again tomorrow and have a meeting with the medics on Thursday and then go from there.
"As it stands, he's way ahead of schedule but it was basically about seeing how he did today and how he reacts to that."
"He's going through that return-to-play process, he hasn't done much with the team as yet so we'll see where he ends up," Dowson said of Hill. "If he can't make it, we'll stick someone else in there."
But Saints do have plenty of selection options at their disposal this week.
"They're good conversations to have," Dowson said.
"There are some weeks where you're having to play Sam Matavesi in the back row because you're struggling with injuries.
"It's great to have so many players out there fighting for opportunities and positions.
"We've got tough conversations to decide who is going to play."