The Matt Harvey rumors are spiking, just days after Mets general manager Sandy Alderson announced he would be designating the former ace for assignment after he refused to go to the minors.

Henry Schulman, the Giants beat writer for the San Francisco Chronicle, say the Giants could be interested in Harvey with both Madison Bumgarner and Johnny Cueto out, a thought echoed by ESPN's Jerry Crasnick:

#SFGiants officially can't discuss interest in Harvey, but some in the organization still like his arm, and this kind of reclamation project screams GIANTS. Doubt they'd deal for him, though. Wait'll he clears waivers and try to sign him for prorated minimum. — Henry Schulman (@hankschulman) May 6, 2018

The #SFGiants have discussed the possibility of taking a flyer on Matt Harvey, sources say. They have the need, obviously, but how would he fit in the clubhouse? And more important, how much work does he need to get straightened out? — Jerry Crasnick (@jcrasnick) May 7, 2018

MLB Network's Jon Morosi reports the Rangers are showing interest in the former Dark Knight:

#Rangers have mild trade interest in Matt Harvey, as I reported moments ago on @MLBNetwork. Dan Warthen, the current Texas pitching coach, was #Mets pitching coach during Harvey’s best years in New York. @MLB — Jon Morosi (@jonmorosi) May 7, 2018

The Athletic's Jim Bowden says the Mariners could also be in the mix for Harvey:

Jerry DiPoto left the door open for possible interest in Matt Harvey depending on the finances. #Mariners #Mets — Jim Bowden (@JimBowdenGM) May 6, 2018

These rumors come after the Boston Globe's Nick Cafardo reported the Red Sox might have some interest in trading for the right-hander:

The Mets finally had enough of Harvey's attitude and performance and designated him for assignment. They'll try to deal him, but given his recent outings that may be tough. Yet, teams need pitching, and if one thinks it can resurrect Harvey's career, it will deal for him. There's been some suggestion he may be offered to the Red Sox for Blake Swihart, but the Sox don't appear interested in that swap.

One team not expected to be in the mix? The Yankees, according to NJ Advance Media's Brendan Kuty:

Matt Harvey grew up loving the Yankees and he might have a chance to put on pinstripes sooner than anyone imagined.

"Don't bet on it," a source with knowledge of the team's personnel decisions told NJ Advance Media on Friday afternoon.

The source spoke on the condition of anonymity because he wasn't authorized to speak publicly.

The team that does get Harvey will be picking up a pitcher who lost several miles off his fastball and posted some unsightly numbers in 2018 for the Mets: An 0-2 record this season with an ERA of 7.00 in eight games (four starts).

Mike Rosenstein may be reached at mrosenstein@njadvancemedia.com. Follow him on Twitter @rosenstein73. Find NJ.com on Facebook.