The goalie and the forward are expected to be ready for the start of next season.
"Listen, they're both big, big parts of this team, don't ever underestimate that," Stars coach Rick Bowness said Wednesday. "We were all looking forward to the day they were going to get back in the lineup and be around the team every day. But that's out of our control. With 'Bish,' it's the same as with 'Rads': the player has done everything he can to get back, the organization's done everything it can to get him back, and they're just not ready to come back, either one."
Bishop had surgery Oct. 21 to repair a torn meniscus in his right knee and has not played this season. He was expected to be out five months.
The 34-year-old was limited to three games during the Stars' run to the Stanley Cup Final last season because of the injury, and was 1-2-0 with a 5.43 goals-against average and .844 save percentage after he was 21-16-4 with a 2.50 GAA, a .920 save percentage and two shutouts in 44 games (43 starts) during the regular season.
Goalies Anton Khudobin and Jake Oettinger have split time this season during Bishop's absence. Khudobin is 9-9-6 with a 2.34 GAA, .913 save percentage and three shutouts in 24 games. Oettinger is 6-5-6 with a 2.29 GAA and .917 save percentage in 20 games (17 starts).
"Bish is clearly our No. 1 goalie, he's one of the top goaltenders in the league," Bowness said. "Do we miss him? Clearly. Have 'Otts' and 'Dobby' done a great job without them? Yes and we're going to have to continue to play without Rads and Bish, that's just where we are. Is it frustrating? Sure. We're all anxious and looking forward to the day we can get this team that's on paper on the ice together. It's not going to happen, so you don't lose any sleep over it. You prepare the guys you have, you coach the guys you have, and you get ready for tomorrow."
Radulov will have core muscle surgery. The 34-year-old scored 12 points (four goals, eight assists) in 11 games this season and last played March 18.
"He's one of our top offensive players," Bowness said. "He's a threat 5-on-5, he's a threat in overtime, a threat in the shootout, a threat on the power play. When he's not in the lineup, we really miss him. He's a tremendous competitor, as we know, so he gives energy to the bench, he gives energy to our offensive game because you give him the puck in the O-zone and good luck trying to get it off him. The 11 games he's played with us, he was a huge part of the team and we miss him. We'll continue to miss him the rest of the year."
Dallas (15-14-12) is sixth in the eight-team Discover Central Division, seven points behind the fourth-place Nashville Predators with three games in hand. The top four teams qualify for the Stanley Cup Playoffs.
The Stars host the Columbus Blue Jackets on Thursday (8:30 p.m. ET; BSSW+, BSOH, ESPN+, NHL.TV).
NHL.com staff writer Tracey Myers contributed to this report