As reported by FoxSports.com and confirmed by a source to ESPN The Magazine's Buster Olney, 40-year-old Thome, who last week became the eighth player to reach 600 home runs, has hit the waiver wire and is expected to attract interest from teams such as the Phillies and Indians. Thome, however, declined to comment on the reports Monday.
"If that comes about in the future, we'll deal with that," Thome is quoted as saying in The Minneapolis Star Tribune. "Today, I know nothing really about that, so it's hard for me to answer your questions right now. ... Out of respect to the [Twins] organization and all that, the best thing is not to comment, to be honest."
Blackburn left his start on Sunday against the Yankees after 1 2/3 innings. He had an MRI on Monday and will meet with a specialist on Tuesday.
Anthony Swarzak will take Blackburn's spot in the rotation and start on Friday when the Twins play Detroit.
Oliveros was one of two pitchers the Twins acquired in a trade that sent Delmon Young to Detroit on Aug. 16. The right-hander made three appearances in Rochester before getting recalled.
The Twins have used the disabled list 23 times this season and have fallen to fourth in the AL Central after briefly getting back into contention at the All-Star break.
Justin Morneau fouled a ball off his right foot on Saturday and hasn't played since. Morneau said he could pinch-hit on Monday if needed.
Tsuyoshi Nishioka continues to have pain in his lower-back/oblique area and was not in the starting lineup.
Denard Span is spending a week away from the team to rest and recover from migraine symptoms. Span missed 56 games with a concussion, then briefly returned before having to go back on the DL Aug. 18.
Information from The Associated Press was used in this report.