Yeo, who played just five games last year due to injury, suffered a calf complaint prior to Round 1 and subsequently missed his side's season opener against the Kangaroos.
The versatile onballer is still no certainty to return to the field this week as he looks to prove his fitness, with Yeo kept to a light session on Tuesday.
West Coast's head of health Mark Finucane told the club's website a last-second call on Yeo's selection status could be made.
“Elliot we'll give as long as possible," Finucane said.
"We'll make a decision later in the week with how he goes with main training on Thursday and make a decision on his availability from there."
Finucane revealed the club erred on the side of caution to aid the 20-year-old's playing prospects for the season ahead, with Culley now available for selection this week.
“Jai has recovered. We took a no-risk approach with minor awareness last week, but as a young player we want him to be 100 per cent," Finucane said.
“He's feeling great and just has to train this week to be available.”
Defender Jeremy McGovern was managed during Tuesday's training session, with some concern initially built around the premiership Eagle's playing chances.
Finucane has confirmed McGovern will be in line to face the Giants this week, having just required a light session off the back of Round 1.
“Jeremy, like a number of our veteran players have lighter starts to the week recovering from the game," Finucane added.
“He'll full train later in the week so it was just load management earlier in the week for Jeremy.”
West Coast have confirmed veteran Nic Naitanui won't be available for Round 2 as he continues to recover from an Achilles injury, while defender Josh Rotham remains up to two weeks away with an arm issue.
Draftee Coby Burgiel has also been sidelined with a hamstring injury, with the club awaiting the full result of a scan.
West Coast will play their first home game of the season on Sunday when they welcome GWS to Optus Stadium, with the match to commence at 3:20pm local time.