Dampier underwent successful surgery Wednesday morning to repair an open dislocation of his right middle finger suffered late in Tuesday's loss to the Oklahoma City Thunder.
"He'll be out for a while," coach Rick Carlisle said. "I'm just not sure exactly how long."
Dampier could miss up to a month. That leaves Brendan Haywood, who arrived over the weekend in a seven-player trade with the Wizards, as the only true center on the Mavericks' roster.
Sources told ESPN.com that the 7-foot-3, 260-pound Ilgauskas was traded from the Cleveland Cavaliers to Washington in a three-team deal Wednesday that sent Antawn Jamison to Cleveland. With Washington cutting costs, it's likely that Ilguaskas will be bought out of his $11.5 million expiring contract.
The Mavericks can only offer Ilgauskas a prorated portion of the veteran's minimum salary of about $1.3 million. Ilgauskas has spent his entire 12-year career with the Cavaliers, but he would have to wait 30 days to return to Cleveland.
The Mavericks would also be interested in re-signing Drew Gooden, whom they traded to Washington, if he negotiates a buyout. However, the odds of that happening decreased significantly when it looks like the Los Angeles Clippers acquired Gooden in Wednesday's three-team deal.