On the day the Queens County Republicans officially endorsed a former city councilman, Thomas Ognibene, for mayor, the Republican incumbent, Michael Bloomberg, traveled to Staten Island twice, in what some view as an attempt to make sure the city’s most conservative borough doesn’t go the way of Queens.

The mayor spent the morning at the Greenbelt Nature Center on Staten Island discussing overdevelopment and returned to the borough in the evening to speak at the induction of an interim judge of Civil Court.

The mayoral race may have given Mr. Bloomberg reason to be nervous, as even some Republicans in fiercely conservative Staten Island are losing their patience. Of his sudden interest in visiting, a Staten Island Republican on the City Council, James Oddo, said he doubted it was a coincidence.

“I’ll let other folks connect the dots,” he told The New York Sun.

Speaking of Queens Republicans, Mr. Oddo, who is council minority leader, said: “What I’ve heard is there is an overall frustration, maybe a little bit of anger, that those folks have been forgotten about for three years, those folks worked hard to elect the mayor in the first place, and for the last three years, they’ve been on the ‘pay me no mind’ list, and I understand that sentiment.”

Mr. Oddo said that, while he is a good friend of Mr. Ognibene’s, he has no plans to make a mayoral endorsement yet.

“I would like to have everybody’s endorsement,” Mr. Bloomberg said yesterday at the Greenbelt, “but I understand what the complaints are … that I haven’t been willing to turn City Hall into a patronage mill. When I look for people, I look for the people that are the best people who do the job and not just try to get the friends of somebody employment.”

Mr. Ognibene said the GOP’s problem with Mr. Bloomberg has nothing to do with patronage, but rather with the mayor’s failure to adhere to his party’s tenets. “I’ve never heard him say he’s proud to be a Republican,” Mr. Ognibene said. “He’s raised property taxes, he’s for gay marriage, and he hasn’t addressed Medicaid. I’m not sure where he’s going.” Mr. Ognibene acknowledged that crime has declined but gave the credit to Mayor Giuliani, whom he called “a true Republican mayor.”

In addition to being deprived of the endorsement of the Republican organization in Queens, Mr. Bloomberg is suffering another slight in the borough. A board member of the Queens Village Republican Club, William Horowitz, said that the club, which is honoring Mr. Bloomberg at its awards dinner Sunday, has decided to bestow the “business entrepreneur of the year” award on the mayor to distance itself from his politics.

“A lot of people in the club are not too pleased with Bloomberg and are fed up with him,” Mr. Horowitz said. “We thought if we invite him to get this award, maybe he can explain himself better, and explain why he should be nominated and not somebody else.”

Steven Cohen, a professor of public administration at Columbia University, said: “The Queens organization and other political organizations are very small groups of people representing very small groups of voters. But these small groups control the ballot lines he needs.”

Mitchell Moss, a professor of planning and policy at NYU and an occasional adviser to Mr. Bloomberg, has a different take on the impact of such political groups: “Republican voters are historically wiser than Republican bosses.”

“The Queens County Republicans have a long history of being on the wrong side,” Mr. Moss, who grew up in Forest Hills, said. “In 1941, they opposed the re-election of La Guardia for the very same reasons they oppose Mayor Bloomberg. He was intelligent, moderate, and reasonable. He did not play party politics in running the city.”

Fiorello La Guardia was, of course, re-elected, despite the Queens Republicans. And as for Mayor Bloomberg? “I think he’ll be fine,” Mr. Moss said.