Capps, who is dealing with inflammation in his right shoulder, hasn't pitched since allowing a two-run homer in Minnesota's 5-3 loss to Milwaukee on Friday.
"He went out and threw some in the 'pen and felt a lot better," Twins manager Ron Gardenhire said. "So probably give him another day. That's our preference. It could change as we go along."
With Capps unavailable, left-hander Glen Perkins and right-hander Jared Burton will handle closer duties based on matchups.