The producers of Broadway’s “Spider-Man: Turn Off the Dark” were negotiating on Monday with their director, Julie Taymor, for her to work with a newly expanded creative team to fix the critically derided $65 million musical or possibly leave the show, according to people who work on “Spider-Man” or have been briefed on the negotiations.

The artistic direction ahead for “Spider-Man”  twice as expensive as any show in Broadway history  involves more decisions than just Ms. Taymor’s future, according to these people, who spoke anonymously because the producers have insisted that no information be disclosed about the talks.

The producers and Ms. Taymor and her co-creators, Bono and the Edge of U2, are also discussing how extensively to overhaul the script and music; how many outside consultants should be hired, and who; and when to open the show, which set a record at its Sunday matinee for the most preview performances ever, its 98th. (The previous record was set in 1969 by Jackie Mason’s “A Teaspoon Every Four Hours.”)

Ken Sunshine, one of the spokesmen for the production, said in response to several questions on Monday night: “We are not commenting on speculation.”