Dave Dombrowski said he has a list of players he would like to trade for.

“I’m not going to show you the list,” the Boston Red Sox president said last weekend, smiling at a group of intrigued reporters. “I’ve probably had it done for three weeks to a month. A lot of it is dependent on what other clubs want to do.”

Will other teams be willing to part with the players he wants? And more importantly, which players would those clubs want in return?

Dombrowski said there are players “we don’t want to trade.”

Looking at the farm system, we can determine the prospects he would be unwilling or unlikely to part with – and a few who might be trade candidates.

In the category of “nearly untouchable” (because you never say never), I will put four names:

• Yoan Moncada, 21. Yeah, this goes under the heading of “duh.” Not only has Boston invested $63 million into Moncada already, but he’s considered the best prospect in baseball. He showed off Sunday in the Futures Game, going 2 for 5 with a 405-foot home run into the upper deck in San Diego. He was named MVP of the game.

While Moncada won’t be traded, can I tap the brakes here? He still has work to do before being promoted to Boston. I know he hit the home run right-handed, but with the Sea Dogs he’s 0 for 8 as a right-handed batter with six strikeouts.

The other issue is position. Moncada has only played second base. When he returns Thursday to Hadlock Field, Manager Carlos Febles should have a fungo bat in hand, hitting grounders to him at third base.

• Andrew Benintendi, 22. If there was a sure-fire ace available to Boston for years, then Benintendi might go in a trade. But he’s staying and as Dombrowski hinted, could be in the majors this year. An outfield of Benintendi, Bradley and Betts would cover a lot of ground.

Like Moncada, Benintendi has played only one position – center field. Isn’t it time he gets some experience in left?

 Anderson Espinoza, 18. He’s 4-8 with a 4.18 ERA in Greenville but don’t be fooled by the numbers. Espinoza has a mid-90s fastball, solid curveball and the presence to become an ace. He’s in only his second year of pro ball – roughly two levels ahead of other pitchers with his age and experience.

 Michael Kopech, 20. You don’t trade Kopech for the same reason Espinoza should not be on the market – the Red Sox, like many teams, have trouble developing front-line starting pitchers. Kopech, like Espinoza, has that potential. Injured at the start of the year, Kopech made his first start for Salem last week – four innings, one hit, no runs, three walks and six strikeouts. With his 100 mph fastball, Kopech struck out three batters in one inning – using only nine pitches.

Here are four others prospects the Red Sox would be unlikely to trade:

 Rafael Devers, 19. It would have to be a serious trade to involve Devers, and he may be closer to being untouchable than I give him credit for. He slumped early in Greenville this season, but since May he’s batting .360 with an .897 OPS.

• Sam Travis, 22. A true hitter who’s been pushed through the system, Travis may see time in Boston next year, depending how the first-base situation shakes out. His 2016 season ended in late May with a knee injury, so Boston likely wouldn’t get market value in a trade.

 Trey Ball, 22. A former first-round pick (seventh overall), Boston would be selling low if they traded Ball now because of his inconsistencies in Salem (10 earned runs in his previous two starts). Ball still could develop into a solid major league starter.

 Josh Pennington, 21. This may sound surprising given that Pennington was only a 29th-round draft pick who has had Tommy John surgery and is in short-season Lowell. But the surgery is why he was drafted so late. Pennington, with a mid to high 90s fastball, is showing potential (2.08 ERA, 1.11 WHIP, 22 strikeouts in 211/3 innings). Boston just could have a gem here.

Here are five guys that Boston could trade and who would be attractive to other teams:

• Mauricio Dubon, 21. Dynamic shortstop who could play other infield positions and bats well (combined (.299/.762 OPS in Salem and Portland).

 Nick Longhi, 20. A solid first baseman, Longhi is moving along quickly despite his age. If he had gone to college, he would have finished his junior year this spring. Instead he’s playing in Salem, batting .292/.768.

 Michael Chavis, 20. A first-round pick in 2014, Chavis struggled in Greenville last year but is hitting .301/.856 this season in 39 games in Greenville (his playing time was interrupted by a thumb injury). A shortstop in high school, he was moved to third base.

 Henry Ramos, 24. After two injury-filled years, Ramos fell off the prospect radar. But the switch-hitting outfielder is healthy and was promoted to Pawtucket, where he’s batting .278/.785 with five home runs in 25 games.

• Jake Romanski, 25. In his fourth professional season as a catcher, Romanski is putting up career-best numbers in Portland (.312/.733) while leading the Eastern League by throwing out 51 percent would-be base-stealers (34 of 67).

There are certainly other players Dombrowski could trade.

It’s a balancing act, deciding who to trade and who to keep. Former general manager Ben Cherington may have been criticized for holding onto too many prospects, but Boston is grateful that he kept the likes of Xander Bogaerts, Mookie Betts and Jackie Bradley Jr. – all starting in Tuesday’s All-Star Game.

Who does Dombrowski deal away? It depends on what other teams want and if they have the players on Dombrowski’s secret list.

NOTES: Among the achievements last week were two rehab appearances by just-turned-reliever Joe Kelly in Lowell (two innings, four hits, two runs, one walk and three strikeouts). Boston has room for a reliever on its roster after Noe Ramirez was sent back to Pawtucket on Sunday.

Sea Dogs starter Keith Couch was named the Eastern League Pitcher of the Week after his complete-game shutout last Thursday in New Hampshire (seven hits, no walks, six strikeouts). Couch is 6-4 with a 3.57 ERA. He also pitched a complete game the week before. Couch, 26, who holds the Sea Dogs’ career record for complete games with seven, will be a minor league free agent after this season.