The state pressured contractors to finish a part of the Tappan Zee Bridge replacement — going as far as offering cover for any wrecks caused by speeding up the job, a published report said late Monday.

Gov. Andrew Cuomo’s administration, via the New York Thruway Authority, directed Tappan Zee Constructors LLC to finish the eastbound span of the new Mario M. Cuomo Bridge by the end of August, according to an internal document letter cited by The New York Times.

The span was finished by the month’s end, allowing Cuomo to do a press event celebrating it on Friday and ahead of Thursday’s Democratic primaries.

“I am directing Tappan Zee Constructors (T.Z.C.) to complete all necessary work” for the new span by Aug. 24, the authority wrote.

“The authority will not hold T.Z.C. responsible for any traffic incidents or damage to the work that results from shifting traffic on the bridge while all elements are not fully complete as permitted by this letter.”

Cuomo on Friday drove a 1932 Packard across the new eastbound span with his mom, Matilda.

The administration has insisted the contractors completed their work without pressure from Albany. “We didn’t make the decision on the opening of the new span. The contractor did,” Cuomo said Sunday.

The head of the Thruway Authority dismissed claims that political considerations influenced the timetable to open the bridge.

“This black helicopter conspiracy theory is wholly disproven on the facts, as the contractual date of Aug. 15 was set a year ago before any thought of a Democratic primary ever existed in any rational mind,” said Thruway Authority Director Matthew Driscoll.

“The Aug. 15 date was moved due to rain delaying construction, and as provided in the contract, the date was moved to Aug 25. At that point TZC said they needed more time until Sept. 7.‎ If the project had been rushed, they would have forced the opening to happen on the contractually agreed to date of Aug. 15,” added Driscoll.