"We have athletes that have won medals involved," Adams said at the daily news briefing.
The team event was contested over three days between Friday and Monday and included two elements in each of men's, women's, pairs and ice dance categories.
The standout performance was 15-year-old Russian skater Kamila Valieva becoming the first female skater to land a quad jump at an Olympics. American Vincent Zhou tested positive for COVID-19 after his free skate Sunday.
If any athlete and team were disqualified or had their results nullified, an appeal would likely follow, which could further delay the medals presentation.
The Court of Arbitration for Sport has set up an office in Beijing to hear urgent cases during the Winter Games.
Some skaters in the men's competition are due to finish their events Thursday and leave China soon after.
"Everyone is doing absolutely everything that the situation can be resolved as soon as possible," Adams said, though he cautioned "as you know, legal issues can sometimes drag on."
Canada placed fourth Monday and would be in line to be upgraded onto the podium.
- AP