Mr. Cuomo, though he has criticized Mr. de Blasio’s expanded interpretation of the statute, did not include changing it among the legislative priorities in his current agenda. Mr. Cuomo, a Democrat, has moved further left as he faces a primary challenge in his bid for re-election, but as governor and previously as attorney general he has accepted tens of thousands of dollars from law enforcement unions and rarely pushed back against their interests.

Mr. de Blasio, also a Democrat, has called for removing the cloak on disciplinary records that critics blame on his administration, but he has not come up with legislative language or indicated support for any proposed measures. At a police briefing last month, he said his administration was making a “big push” to get the law changed by the end of June.

“The commissioner, his predecessor and I are united in wanting change in the law that will create the transparency everyone wants and once and for all settle the question,” he said.

Those who want the law changed concede it is unlikely as long as Republicans control the Senate. But they are still making the rounds in Albany, with the expectation that if they are not successful in the next few weeks, the political climate could be more favorable after November if Democrats regain control of the upper chamber.