Nilstorp was the backup to Richard Bachman before Tuesday's move. Bachman has made three straight starts since he had to replace starter Kari Lehtonen, who re-injured a groin early in a win over the Los Angeles Kings on April 9.
Bachman helped the Stars finish off a season-best five-game winning streak before Monday night's 5-2 loss to Chicago.
Nilstorp has bounced between Dallas and the Texas Stars most of the season. He's 1-3-1 with Dallas and 18-11-5 with Texas.
The Stars have two days off before playing Vancouver at home on Thursday night.
There's not much to say. We played like [garbage]. I think every guy in the room should be completely embarrassed about how they played tonight. Every single person. To start a road trip, one of the biggest road trips and have a division rival chasing you down and have a ton on the line, it's ridiculous how we played tonight.
— Anaheim forward Andrew Cogliano after the Ducks' 7-2 loss to the Flames on Wednesday