The United Nations General Assembly created a new counterterror office Thursday – and embattled Russian Ambassador Sergey Kislyak could lead it, according to news reports.

Kislyak, a central figure in the investigations surrounding the Trump campaign and its alleged contacts with Moscow, "put his name in the mix to run the new office," diplomats told CBS News.

The high-level job would put Kislyak in "the inner circle" of U.N. Secretary General Antonio Guterres, according to the report.

However, the U.S. has not strongly contested any role Kislyak might have in the new office because it was created by the U.N. General Assembly, not the Security Council.

"Therefore, the U.S. does not have a right to veto," CBS News reports.

Besides Kislyak, another Russian – Andrey Krutskikh, a cybersecurity expert and senior adviser to Moscow – appear to be the leading candidates to run the new counterterror office, the diplomats said.

"I don't want to see them get it," U.N. Ambassador Nikki Haley told CBS News. "That's not something we would cheer for, but I wouldn't be surprised if they got it."