Worcester Warriors are likely to bring in at least one new forward before the Premiership game at Exeter on Saturday.
Prop Matt Mullan and back row Neil Best both had to go off during the bruising win against Bath at Sixways.
Hill told BBC Hereford and Worcester: "The two positions where we could have done without injuries was in the back row and at loose-head prop.
"It was a costly match for us in that regard - it was a brutal game and quite a few Bath players went down too."
He added: "We were already down two loose-heads with Ceri Jones out after a shoulder operation and George Porter having appendicitis.
"Matt will also be out now with a damaged shoulder. We might have to look at if we can bring people in. Oliver Tomaszczyk is also missing with a hamstring injury, so we are light in that department at the moment.
"Neil also looks like he might have broken a forearm."
Shaun Perry also had to be replaced at half-time by Jonny Arr, who was returning from injury, but Hill said that change was merely a precaution.
"Shaun just twinged his hamstring. He was mad at half-time and wanted to go back out there.
"But I had to make a call and Jonny Arr has played well in the last few games, so it was the right decision,"he explained.
"Jonny controlled the play really well and when you have got a lead like that you can afford to turn the opposition."
Meanwhile, Worcester's A side, the Cavaliers, entertain Leicester Tigers at Sixways on Monday, kick-off 1930 GMT.