However, that could happen in the next week, ESPN's Buster Olney reported via Twitter on Friday.
Olney says A's scouts recently watched Ramirez work out and remain "interested," and that the club will make a final decision on whether to sign the embattled star soon.
Ramirez, a 12-time All-Star who will be 40 in May, is a career .312 hitter with 555 home runs spanning 19 Major League seasons. If signed by Oakland, he would likely assume designated-hitter duties following a 50-game suspension stemming from his second positive drug test last season.
The A's have also been linked to 38-year-old veteran Magglio Ordonez, but there appears to be no traction on that front. Meanwhile, the club has several in-house DH options, including Chris Carter, Kila Ka'aihue and Jonny Gomes.