Parise, who led the Wild in goals (25) and was second in points (53) during the regular season, said he expects to be 100 percent in time to resume his normal training routine in the summer.
That includes being ready to participate in the World Cup of Hockey, which begins Sept. 17 when the Team USA plays Team Europe at Air Canada Centre in Toronto.
"I'll be ready to play for that, for sure," Parise said. "I don't think, or at least I hope, but I just feel like the way it's progressing, that won't be an issue at all. I feel like I'll be able to train normally, like I always do. I don't think it will be a problem."
It was announced on Wednesday that goaltender Devan Dubnyk sustained a broken right index finger in the morning skate prior to Game 1 of the Western Conference First Round series against the Dallas Stars.Minnesota lost the series in six games.
Dubnyk had the finger in a splint Wednesday but said he won't need surgery.
"It was hard to hold my stick," he said. "There were better days, and worse days, and probably a few times it got hit pretty good, and can't imagine that it helped things.
"It's just rest now. There's no rush to get back playing. That's a good thing that we don't need to do surgery on it. We did the X-ray yesterday and saw it."
Forward Thomas Vanek said the upper-body injury that made him miss the final three games of the regular season and all six games in the playoffs was a broken and displaced rib sustained against the Chicago Blackhawks on March 29.
"When it first happened, I figured something was wrong, but they just assumed it was a strain or a bruise," Vanek said. "I played, I think a couple days later, and it didn't feel like a bruise or a strain. So I took four or five days off and went on the ice for about two minutes and I said, 'I think something is wrong.' "