Enright suffered a knee injury during the second quarter of the Cats' shock qualifying final loss to Fremantle at Simonds Stadium on Saturday.
He briefly returned to the field with his knee strapped but was subbed out of the game at half-time after being unable to overcome the discomfort.
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"Not exactly sure (how serious the injury is)," Geelong coach Chris Scott said after the match. "Not good enough to keep playing, so that's a little bit of a concern.
"But we'll monitor it closely. He's a crucial player for us. Ideally we've made a decision that means he's a chance for next week.
"But I couldn't speculate on the severity of it. When they can't play on it's more than just a niggle."
A three-time premiership player and two-time best and fairest, Enright has enjoyed yet another great season and has been nominated for the All Australian team.
But with only three weeks of finals left, he might have played his last game for the year.
"He's not going to be out for eight (weeks), so he's cleared of that sort of seriousness," Scott said.
"But any more than three is too serious for us, so we'll just have to wait and see."
Hawkins remains a major concern for the Cats. Having battled back problems all season, he was a late withdrawal from the team that lost to the Dockers are suffering a recurrence of his back soreness.
"It's been tough for a number of weeks, because some days he's good," Scott said. "And we sort of cross our fingers and hope it's going to be a good day on game-day.
"This week he wasn't so good all week. We were still hopeful Friday night, but after Friday night it was unlikely (that he could get through the match)."
Although Hawkins has come under fire for his inability to have an impact on games this season, Geelong's forward line struggled against Freo without him.
In fact, the Cats were held to less than 10 goals for the first time since 2008.
"Big key forwards, in pressure games where it's very contested and there are a lot of numbers in front of the ball, are really important," Scott said.
"He's our club champion from last season and he's a really important player for us, so you take him out and it hurts a little bit.
"But it was an opportunity for Josh Walker and I think he'll be better for it."
Twitter: @AFL_AdamMcNicol
