In addition to Walker, the teams are also discussing "two or three other top young players," according to Heyman.
Walker's name had been brought up during the offseason in trade talks for Price, but ultimately the Mariners did not want to part with the right-hander. Price also said he would not sign an extension with the Mariners if he was traded to Seattle.
More from Heyman:
Tampa hasn't yet definitively signaled that it would even trade Price yet, as it isn't that far off the pace in a surprisingly unimposing AL East.
The Mariners are loaded with top prospects, including D.J. Peterson, one of the best hitters in the minors, and left-handed pitcher James Paxton, who pitched a rehab start last night. Tampa is believed interested in those players as well.
According to Heyman, scouts are expected to see Walker start for Triple-A Tacoma on Friday night.
- Sarah Barshop