NBC executives have decided that after 11 seasons, the current season will be the last, the article said.
The official announcement could be made as early as Monday, when "Frazier" cast members are scheduled to meet with the reporters in a preset meeting of the Television Critics Association media tour.
No decision has been made on the timing of "Frasier's" last show, though it seems unlikely NBC would air the episode the same week the highly-popular "Friends" signs off. A May finale is still likely however.
There also has been discussion of a possible "Frasier" spinoff, though NBC insiders said nothing currently is planned for next season.
By ending after this season, "Frasier" will have matched the 11-season run of its parent comedy, "Cheers." Grammer, who made his first "Cheers" appearance in 1984, has now played Dr. Frasier Crane for 20 years.