Free-agent forward Mike Dunleavy has verbally committed to sign with the Chicago Bulls later this month, according to sources close to the process.

Sources told ESPN.com that Dunleavy quickly narrowed his long list of suitors to five teams Monday and chose to take the Bulls' two-year offer worth $6 million.

The deal can't be signed until after July 10, when the league's annual moratorium on signings and trades is lifted, but teams and players are allowed to enter into verbal agreements during the freeze.

Sources said Dunleavy also gave strong consideration to the Houston Rockets, Dallas Mavericks, Los Angeles Lakers and Minnesota Timberwolves after spending the past two seasons in Milwaukee.