The Blue Jays lost to the New York Yankees 3-1 Tuesday night, their seventh defeat in 10 games.
Rasmus was put on the 15-day DL on May 15 because of a sore right hamstring. He's hitting .222 with nine home runs and 19 RBIs.
Gose took strike three with a runner on third to end the game. He was hitting .233 with four RBIs, and had tailed off after a solid start.
''We wouldn't be where we are right now without him,'' manager John Gibbons said.
Said Gose: ''It's just part of the business that we're in.''
''It hasn't really sunk in yet. I'm just going to have to accept the assignment and make the most of my time down there,'' he said.