The Twins transferred Ryan (shoulder) to the 60-day injured list Tuesday.
The Twins placed Ryan on the 15-day injured list Friday with a Grade 2 right teres major strain, Do-Hyoung Park of MLB.com reports.
Ryan will undergo an MRI on his injured right triceps Thursday, Darren Wolfson of SKOR North reports.
Ryan was lifted from Wednesday's start versus the Cubs in the third inning due to right triceps tightness, Bobby Nightengale of the Minneapolis Star Tribune reports.
Ryan was removed from Wednesday's start against the Cubs in the bottom of the third inning with an undisclosed injury, Dan Hayes of The Athletic reports.
Ryan allowed two runs (one earned) on six hits and no walks while striking out 10 over 5.2 innings Sunday against the Mariners. He did not factor into the decision.
Ryan (5-5) earned the win over Oakland on Thursday, allowing two runs on three hits and one walk while striking out five batters over seven innings.
Ryan (4-3) earned the win Monday against the Royals, allowing one run on four hits and no walks over seven innings. He struck out nine.
Ryan (3-3) picked up the win Tuesday, allowing three hits and two walks over seven scoreless innings in a 10-0 rout of the Nationals. He struck out six.
Ryan (2-2) picked up the win Friday, allowing one run on six hits over seven innings in a 3-2 victory over the Blue Jays. He struck out seven without walking a batter.