After Andrew Miller's trade to the Indians, Buster Olney explores what could be next for the Yankees. (0:41)

UPDATE: The New York Yankees have agreed to a trade that will send outfielder Carlos Beltran to the Texas Rangers for right-handed pitching prospect Dillon Tate and others.

First Aroldis Chapman, then Andrew Miller. Is Carlos Beltran the next big-name New York Yankees player to be traded?

If so, the team had yet to ask the slugger to waive his no-trade clause as of about two hours before Monday's trade deadline. He can veto trades to 15 teams.

The Yankees have not yet asked Carlos Beltran to waive his no-trade clause as we move two hours from trade... https://t.co/GS9H9KfY81 — Andrew Marchand (@AndrewMarchand) August 1, 2016

Even so, as of Sunday, four American League teams were among those discussing the 39-year-old with the Yankees, ESPN's Buster Olney reports.

Among the teams talking about a Carlos Beltran deal: Houston Astros, Boston Red Sox, Texas Rangers, Indians. — Buster Olney (@Buster_ESPN) July 31, 2016

Beltran has been the Yankees' best hitter this season. In what could be his final game with the club on Sunday, the switch-hitter belted a home run and drove in two to improve his season numbers to 22 homers and 64 RBIs. He's batting .304, to boot.

As Wallace Matthews of ESPNNewYork.com writes, the likelihood that Beltran could be traded increased when word came out that New York had dealt Miller to the Cleveland Indians on Sunday morning. The deal made it clear that the Yankees don't expect to win it all this year and finally believe that rebuilding for the future is their best bet.

Olney tweeted on Saturday that rival officials believe the Yankees' current asking price on Beltran to be "beyond their reach." Beltran, who is making $15 million this year, is set to become a free agent at the end of the season.