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The Padres reportedly don't want to part ways with their top prospects in a deal.

MLB trade rumors: Dodgers, Padres are teams most on Corey Kluber

The trade market for Corey Kluber is still active.

At least four teams — the Dodgers, Padres, Phillies and Brewers — have checked in with the Indians for a possible trade for the Cy Young winner, but it's the two National League West teams who are the most relevant at this point according to MLB.com.

The Padres and Dodgers have both reportedly checked in on Kluber since the beginning of the new year.

After Los Angeles traded Matt Kemp and Yasiel Puig to the Reds in December, one report emerged saying one MLB executive would be "blown away" if the Dodgers were not to acquire Kluber if he was traded.

That is not keeping the Padres from trying though.

According to MLB.com's report, the Padres might not be willing to part with their top prospects in a deal for the right hander, but they might want to include some major league pieces in the deal such as Hunter Renfroe and Manuel Margot.

There would likely be more to the deal than that, as the Indians reportedly have interest in one of San Diego's better prospects in left-handed pitcher Adrian Morejon, but Renfroe and Margot do have value and used to be top prospects themselves, so they would be at least a decent return for Kluber.

Kluber has three years and $38 million left on the contract extension he signed in 2015.

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