(CNN) - Embattled New York Governor David Paterson woke up to some unfriendly headlines Friday morning.
New York City's two tabloid newspapers, the New York Post and the New York Daily News, in large front page headlines, declared that for Paterson, it's "time to go."
At a news conference Thursday evening, Paterson said he would not resign the governor's office, and speaking of his bid for a full term in office, he added that "I'm in this for the long haul."
Paterson's meeting with reporters was his first since a New York Times story reported that the governor may have intervened in a domestic assault case involving a top aide. Paterson has suspended an aide and asked state attorney general Andrew Cuomo, who is weighing his own primary challenge against Paterson, to investigate allegations of wrongdoing amid news reports that the aide hit a woman and that state police pressured her to keep quiet.
In their front page editorial, the New York Post declared, "It's time for David Paterson to close out his role in one of the strangest episodes in New York history and turn over the affairs of state to his own lieutenant governor, Richard Ravitch."
There was a similar message on the front page of the New York Daily News, which said, "Today we urge David Paterson to step down. Paterson has given serious cause to doubt both his word and his judgment. His administration is in shambles. He has demeaned his high office."
The controversy prompted the state's deputy secretary for public safety, a Cabinet member who supervises the state police, to resign unexpectedly Thursday. She said the governor and state police "acknowledged" direct contact with the woman - an allegation that the governor declined to discuss in a radio interview Thursday.
Paterson expressed confidence that the investigation will clear him of any wrongdoing, saying "I will allow the attorney general's office to conduct the investigation. I want to get the bottom of everything that happened here. The attorney general wants to get to the bottom of it. And I will be cooperating with that investigation and I am satisfied at the end of the investigation that everybody will understand."
Paterson also declared that he will press on with his troubled election bid, despite calls from fellow state Democrats to suspend his campaign. But Paterson did not completely rule out ending his campaign, which was facing difficult odds even before the New York Times story was published. He said he would spend the "next few days" soliciting the opinions of other party leaders.
"I am not suspending my campaign, but I am talking to a number of elected officials around the state, as I would, fellow Democrats, to hear their opinions," he said at a press
conference in New York City. Asked about the calls for him to back out of the race, Paterson said he had "an open mind."
"I want the Democrats to win this November," he said. "I want the governor of the state of New York to be Democratic, hopefully me, and I will weigh what they have to say, but right now I am a candidate for governor."
Polls indicate that Cuomo leads in a hypothetical primary matchup by 30 to 40 points over Paterson, who said he is in the race "for the long haul." But the governor added that "I am not in it without having my colleagues feel they can talk to me about this."
Paterson was lieutenant governor when a sex scandal led to then-Gov. Eliot Spitzer's departure from the office in March 2008.