Sept 6 (Reuters) - The U.S. Department of Justice plans

to issue an outline by December on what Alphabet's

Google must do to restore competition after a judge earlier

found the company illegally monopolized the market for online

search, prosecutors said at a court hearing in Washington on

Friday.

Prosecutors did not detail what remedy they will propose,

but Justice Department attorney David Dahlquist said it should

be comprehensive and take into account how Google plans to

integrate artificial intelligence into search.

Since the case was brought, Google has rebranded its Bard AI

product to Gemini, Dahlquist said.

"What else are they thinking about? What else is beyond

that?" he said at the hearing.

Prosecutors could seek to have Google divest certain

business units, such as its Android mobile device operating

system, or end billions of dollars in annual payments to

smartphone makers and others to ensure that its search engine is

the default on devices and browsers.

Google's attorney John Schmidtlein said at the hearing that

the company needs a detailed proposal from prosecutors, and will

likely seek information from Microsoft ( MSFT ) and OpenAI to

prepare any counter-argument on AI search.

Google has said it plans to appeal the judge's ruling.

U.S. District Judge Amit Mehta said he could hold a hearing

in the spring and would like to rule by next August.