The Yankees planned to add another lefty to their bullpen this offseason and they have, somewhat. They picked up minor leaguer Cesar Cabral in the Rule 5 draft and signed Red Sox cast-off Hideki Okajima.
It doesn’t seem like the Yankees were interested in Oliver at all this offseason really, but he was probably the best veteran option on the free agent market among lefty relievers. He’s 41-years-old, but has seemingly gotten better with age. He was converted to the bullpen fulltime in 2006 and his ERA has gotten lower almost every year since, culminating with a 2.29 ERA last season.
The Yankees lack of interest in him should be a sign that they are going the Cabral/Okajima route. If they do add another lefty reliever, it will be along those lines and won’t be a big contract given to a veteran.