Coach John Worsfold said neither player required season-ending surgery, and he was hopeful they would be available for selection in two to three weeks.
Kerr hasn't played since the round 13 win over Hawthorn, while Cox returned after a two-week layoff to face St Kilda, but spent the entire last quarter on the bench.
"The issue is that the soreness that they've got came on reasonably suddenly, but it hasn't gone suddenly and that's the concern," Worsfold said on Tuesday from Subiaco Oval.
"Both players are going to fly to Adelaide with the team on Friday to see a specialist in that area over there, just for another opinion on what he thinks may be happening.
"At this stage we're hoping that they may only miss two or three weeks and we'll get them back up and going."
West Coast has had a horror run with groin injuries in recent seasons, with Sam Butler, Chris Masten, Mark LeCras, Brad Ebert, Chad Fletcher, Beau Waters and Luke Shuey all struck down.
Worsfold said the Adelaide specialist that will treat Cox and Kerr, Dr Steve Saunders, had dealt with West Coast players in the past.
Adelaide, Fremantle, Carlton, Melbourne and the Brisbane Lions have also enlisted the specialist's help.
"He's got a reputation, he's renowned (and) he's done some good work," Worsfold said.
"He's actually assessed some of our players in the past, both in Adelaide and he's been to Perth before to look at some of the players.
"He's had good results with some of his programs treating and preventing these types of injuries."
Cox's injury has thrown open the door for forgotten ruckman Mark Seaby to take on Port Adelaide ruck duo Dean Brogan and Brendon Lade on Sunday.
Seaby has been a solid contributor for West Perth in the WAFL, but Nic Naitanui and Quinten Lynch have been preferred as backup for Cox since Seaby's last AFL game in round nine.
"I would expect that Seabs would come in knowing the quality of ruckmen we're up against," Worsfold said.
"He didn't want Coxy to get sore, but it's happened and that gives him his opportunity."
Lynch stepped in to lead the ruck for large parts of West Coast's 20-point loss to St Kilda and Worsfold said he had been really pleased with his output this season.
"He got pretty tired in the last quarter and Gardiner started to dominate the hit-outs, but when he's fresh he's really held his own."
