PHOENIX – As things stand now, the Pittsburgh Steelers hold 12 selections in the seven-round NFL draft they are set to host next month.

Is it tenable to add 12 drafted rookies to the roster?

“That’s a great question,” coach Mike McCarthy said Monday from the site of the NFL owners meetings.

“Good problem to have.”

Through a combination of trades and compensatory picks earned from what was a slate of departures in the free-agent market last spring, the Steelers have five more picks than there are rounds in the draft.

The bulk of this offseason’s round of free agency resulted in 10 new veteran additions to the Steelers roster earlier this month. The organization is satisfied that it filled holes in its projected depth chart and therefore feels no pressure to target specific positions; it can take the proverbial best player available.

“We’ve got 12 picks, (but) you can’t have enough good football players,” said McCarthy, who guided the 2010 Green Bay Packers to a Super Bowl XLV win against the Steelers despite a rash of injuries to that team that season.

“Giving the talk that night at the (2010 Packers) ring ceremony, that’s all I talked about. It took 77 players to win that championship. And to this day it’s the most guys ever on (injured reserve) for a Super Bowl team. And it’s the most injured team I’ve ever coached. And the message is: all those young guys that are on the developmental or practice squad, they all count. You’ll never hear me talk about the ‘53’ (players on the active roster). I’ll talk about the (69, when the practice squad is factored in). And so if you’ve got 12 picks, let’s just try to pick 12 good football players.”

Theoretically, the Steelers would be open to trading some of their excess draft capital for extra selections in 2027. They in part collected this year’s haul in anticipation of a robust quarterback class that did not materialize; they could be well-served to add to next year’s quiver when it is expected to be overflowing with QB quality.

The difficulty in that strategy, though, is that it requires a willing trade partner. General manager Omar Khan on Monday was asked about the value associated with each pick when it was posited that every different organization has a model for quantifying value for every particular selection – even those in future years.

“It all sounds great, like yeah, there’s (a trade with a team that has a similar valuation as you),” Khan said, “but the reality is when you’re on draft day getting ready to make a trade or not make a trade, it’s whatever somebody’s willing to pay.”