The 29-year-old has missed the Giants' last three matches and is due to undergo further scans on Friday to ascertain the full extent of his injury.
However, Huddersfield coach Rick Stone is not optimistic of the club captain returning the action in the near future.
"I think Leroy would be unlikely for that game," Stone said. "He hasn't played for a few weeks now and he's still not great. He's having another scan tomorrow and seeing the consultant because it's not been responding to the usual treatment."
Huddersfield will also send forward Tom Symonds for a second opinion after aggravating a knee injury amid fears he may be forced to undergo further surgery.
Stone hopes to have second rower Dale Ferguson back from a head injury for Sunday's fifth-round Ladbrokes Challenge Cup tie against Swinton at the John Smith's Stadium.
With a quick turnaround before the Giants' next Betfred Super League game at Leeds Rhinos on Thursday week, Stone is set to rest several players for the visit of the part-time Championship club.
"We've probably got 20 or 21 players in the mix for this weekend and there might be some senior players rested," he said.
There could be a first appearance of the season for utility back Jared Simpson, who on Thursday signed a contract extension which will take him to the end of the 2018 season.
Simpson, who burst onto the scene in 2015, was in line to start the season as understudy to full-back Jake Mamo but sustained a medial ligament knee injury in a pre-season friendly against Bradford.
"Ever since I have been here, he hasn't had much luck injury wise with a hamstring strain and a medial knee injury at the Bradford trial. He's back now and training well and he's available for selection this week and will come into the mix.
"Everyone loves Jared and what he stands for. He's a local bloke who just loves playing for the team and the town which is a really impressive trait. His meticulous work ethic and his attention to detail is what stands him out from a lot of blokes."
Simpson, whose father Roger played for Bradford, is delighted with his new contract, saying: "I'm over the moon and very grateful to Rick Stone for the opportunity.
"He has stuck by me and saw how hard I worked in the off season and it was really frustrating that I injured my medial knee ligament in the pre-season trial against Bradford.
"I'm fit now and raring to go and hopefully now I'm back for good. I just want to help the boys out whether that is in training or on the pitch playing and I would love to get back out on the field as soon as possible."