Coniglio went down with a knee problem in his side’s loss to Richmond in round 17 that required surgery.
However, the star midfielder is a chance to return in the Giants’ preliminary final clash against Collingwood next Saturday at the MCG.
Meanwhile, Deledio suffered yet another calf setback in last week’s elimination final win over the Bulldogs but is only a “small chance” to return should GWS advance to the grand final.
Speaking on Channel 7’s Game Day, Davis was hopeful that Coniglio could put his hand up for selection next week to take on the Pies.
“Brett is a very small chance if we were able to win this week but Cogs is probably the one that’s really close,” Davis said.
“I think he did basically a full session yesterday, so we’ll see how that pans out.
“Obviously a prelim’s a different kettle of fish than just coming back into the regular season so we’ll see what happens there.
“But he’s doing a lot right and obviously we’re a much better team with him in it.
“But I think Leon (Cameron) said last night, no risk, but he did a full session Saturday so hopefully he’s around the mark.”
"He did a full session on Saturday so hopefully he's around the mark."
— 7AFL (@7AFL) September 15, 2019