In October, another African-American coach, Hue Jackson, was fired after his teams were 3-36-1 in roughly two and a half seasons.

The two black head coaches still in the N.F.L. are Anthony Lynn of the Los Angeles Chargers (12-4), who are headed to a wild-card playoff game Sunday against the Baltimore Ravens, and Mike Tomlin of the Pittsburgh Steelers (9-6-1).

Carolina Panthers Coach Ron Rivera, who is Latino, is the only other minority head coach.

With eight coaching vacancies, it is possible that some of the recently dismissed coaches will be leading candidates for those openings; their experience and certain attributes may be a better fit with other teams. Jackson, for example, was on Lewis’s coaching staff in Cincinnati. And there are other minority candidates, like the Kansas City offensive coordinator Eric Bieniemy and Stanford Coach David Shaw, whose names have popped up in coaching discussions.

But the next several weeks will unquestionably heighten the scrutiny on the N.F.L.’s hiring practices and how reliably, or willingly, the Rooney Rule will be employed.

Gulliver would not admit something that many onlookers and people around the N.F.L. have long suspected: that teams have been doing only the bare minimum to comply with, or sidestepping, the Rooney Rule. After all, if the rule was working as intended, and the percentage of minority coaches and executives was growing steadily, why would the rule need to be strengthened?

Under the new regulations enacted a few weeks ago, when teams are looking to fill positions, they must interview at least one minority candidate from a list kept by the league’s Career Development Advisory Panel, or a minority candidate not currently working with a team. Teams also must keep detailed records of who they interview, which is perhaps a response to criticism from minority candidates who say they are routinely called, but not formally interviewed, by teams trying to do the least possible to fulfill their obligations.

After it was first established, the Rooney Rule appeared to be having an impact. By 2011, eight N.F.L. teams had coaches of color, the most to that point, or since.