McVeigh suffered a calf injury during the Swans’ win over Adelaide on Saturday night, while Rohan was stretchered off after injuring his knee, in what looked to be a season ending injury.
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“Gary’s knee is structurally sound and the bone is fine, so he’s just got a deep bruising from the knock,” Longmire said.
“Jarrad has a really slight strain but we’ve had players play before with similar strains, so we’ll just see how the week progresses.
“It’s a bit early to rule anyone in or out at the present time, we’ll give them every opportunity (to play).
“Saturday night you’re not quite sure how things are going to pan out, that’s why it’s important not to jump to conclusions too early.
“At the moment we haven’t got all the facts, but it’s looking more positive than it could have been.”
Meanwhile, Kurt Tippett, who missed Saturday’s match due to a hairline fracture in his jaw, is expected to return.
“Kurt did part of our final session here last week and trained fully here on Sunday,” Longmire said.
“He’ll do more on Wednesday and see how he feels.
“He was able to play the game out against GWS and train really well on Sunday, but it comes down to a discussion between the coaching staff, the medical staff, and Kurt (on whether he plays).”