"Nice safety squeeze, huh? Good call by Doc," Turner joked, referring to manager Dave Roberts.
Max Muncy homered twice, Yasmani Grandal also went deep in a three-run ninth inning for the Dodgers, whose bullpen came up big again to hand Colorado its fourth straight loss.
Dodgers relievers got the win in all three games over the weekend, and Kenley Jansen saved two.
"I'm happy the bullpen threw so well," said starter Alex Wood, who pitched only two innings on Sunday. "Not just today but the whole weekend."
The Dodgers rallied from five down to sweep the three-game series at Coors Field. Los Angeles had runners at second and third in the ninth against Wade Davis and took the lead on Turner's slow roller to Davis (0-1). He tagged Turner but had no time to throw home as Forsythe scored to make it 8-7.
"Turner fought off some very good pitches and ultimately hit a ball 40 feet," Rockies manager Bud Black said.
Grandal followed with his ninth homer.
Tony Cingrani (1-2) got the win with an inning of relief and Jansen pitched the ninth for his 14th save.
"I wasn't in a lot of pain, I just couldn't react," Iannetta said. "I tried to block a ball and I felt really slow and it wasn't getting any better."
Tony Wolters replaced him during Turner's at-bat.
Desmond drove in three runs with a homer -- his 10th -- in the first, and a bases loaded walk in the second off Wood to stake Colorado to a 6-1 lead.
Muncy, who homered to left field in the second inning, capped an 11-pitch at-bat in the third by hitting Chad Bettis' slider into the seats in right to make it 6-4. It was the first multihomer game of his career.
The Dodgers took the lead in the seventh. A single from Forsythe off reliever Scott Oberg made it 6-5, and then shortstop Trevor Story's two-run throwing error on a grounder by Breyvic Valera gave L.A. a 7-6 lead.
Two L.A. errors in the seventh allowed the Rockies to tie it.
Rockies: LHP Jake McGee (shin contusion) pitched a clean eighth inning after not being used in the first two games of the series.
Muncy fell behind 1-2 in his at-bat in the third inning but fouled off five straight pitches before Bettis served up the home run ball.
"It was one of those at-bats where I felt extremely locked in," Muncy said. "I wasn't thinking about anything at all. It was a big moment for us, kind of got us back in the game there."
Bettis was one pitch from getting out of the inning without allowing a run when Muncy came through.
"It was a tough at-bat. He grinded it out," Bettis said. "He saw every pitch I had and he caught up with one.
Dodgers: RHP Ross Stripling (3-1, 1.68) will open a three-game series in Pittsburgh on Tuesday night. Stripling is 0-1 with a 4.91 ERA in three games -- one start -- in his career against the Pirates.
Rockies: LHP Kyle Freeland (5-5, 3.43) takes the mound in the first of a three-game series at Cincinnati on Tuesday. Freeland hit is only career home run at Great American Ballpark on May 21, 2017.
More AP baseball: https://apnews.com/tag/MLBbaseball
Javy Baez limps off after awkward trot to first base
Javy Baez tries to leg out an infield single, but he comes up lame after being thrown out.
Alonso launches 24th long ball of the season
Pete Alonso goes deep with a solo home run off Jesus Luzardo.
Lewis Brinson's grand slam powers Marlins past Mets
The Marlins don't look back after Lewis Brinson cranks a grand slam in the first inning.
Orioles club four homers in win vs. Yankees
The Orioles turn to the long ball as they crush four solo home runs vs. the Yankees.
Cat evades grounds crew to take over field in the Bronx
The Orioles-Yankees game is forced into a small delay after a cat gets on the field and has fun with the grounds crew.
Realmuto's RBI single gives Phillies late lead in the 9th
The Phillies take a 5-3 lead over the Nationals in the top of the ninth inning as J.T. Realmuto hits an RBI single to left field to plate two runs.