Allen, who joined the Angels on a one-year, $8.5 million deal, began the season with five scoreless innings before struggling in his next four appearances. He is 0-2 with a 5.40 ERA.
"We're going to go with whoever we think gives us the best chance in a save situation," Ausmus said. "We're actually much better as a team when Cody is closing, but right now, we're going to put him in some lower-leverage situations to try to get back to where he needs to be and get command of his pitches."
Allen, 30, is coming off a subpar 2018 season that saw his ERA balloon to 4.70 following five straight seasons of sub-3.00 ERAs.
He had been a longtime workhorse for the Cleveland Indians, recording three straight 30-save seasons from 2015-17.
"Brad's job is to put guys in position to help the team win," Allen said. "I'm working through some things to get back to being the guy I was before that. And there are some guys down there who are throwing the ball very well, Ty Buttrey and Hansel Robles. They give us a better shot to win games or close games out."