I don't know if this is a sign that the Blue Jays don't like any of their candidates for second lefty in the pen, but they have signed Randy Choate to a minor league contract with a spring training invite.
Choate is 40. He's almost the original LOOGY. He's pitched in over 70 games in 4 different seasons, but has never pitched more 50.2 innings in a season. Last year he pitched in 71 games for the Cardinals, for a total of 27.1 innings (a true one out guy) with a 3.95 ERA, 5 walks with 22 strikeouts. Lefties hit .265/.333/.361 against him.
Over his career, left-handers have hit .195/.276/.274 in 1036 PA (right-handers have hit .290/.403/.404 in 714 PA) over 15 seasons. And, apparently, he's the last remaining member of the 2000 Yankees. He has a 3.90 career ERA in 672 games, all relief appearances.
I'm curious to see what happens with him. I'd imagine he'd either make the Jays, or retire. I guess it is possible that he'll have a date that he'd either on the major league team or can opt out.