The Mariners are trying to work Ramirez and Hector Noesi into the rotation as September callups, and Ramirez took advantage of his first opportunity with seven innings of two-run ball in Tuesday's 4-3 victory over the Blue Jays.
"He'll get another start or two, it's just a matter of when we plug him in," Wedge said. "Obviously, he was impressive the way he threw the ball last night against what I consider a pretty good lineup. So we'll see him another time or two."
Ramirez took Blake Beavan's turn in the rotation Tuesday, with Beavan pushed back to Sunday in Texas. After Beavan closes out the current road trip, the Mariners will have 15 contests remaining.
Wedge said Noesi would likely get his shot in next week's homestand against the Orioles or Rangers, but he didn't commit to more than one start for the former Yankees right-hander.
For now, Noesi is available out of the bullpen, which provides some added depth to a group that Wedge has leaned on considerably to match up in late-inning situations. On Tuesday, he used four relievers to get through the eighth inning and to closer Tom Wilhelmsen after replacing Ramirez.
"Obviously, we were really matching up in the eighth," Wedge said. "One of the luxuries of having some length in the bullpen is if it winds up tied and going into extra innings, you've got somebody down there that can pitch for a little while. Otherwise, you've got to be a little more careful than I was, but we were able to do that and it worked out good."