Sources: Bulls eye Patrick Beverley

Chicago native Patrick Beverley, waived Monday by the Miami Heat despite possessing a two-year guaranteed contract, is getting strong consideration from the Chicago Bulls, according to NBA front-office sources.

The Bulls can't sign Beverley before he clears waivers on Thursday, unless they are willing to absorb his Heat contract -- and it's very unlikely that they would take on a two-year deal worth $1.3 million. But they appear increasingly likely to add Beverley as a third point guard once he does clear.

"Looking that way," said one source close to the situation.

The Bulls released two point guards -- John Lucas III and Kyle Weaver -- in their final cuts, and they have considered bringing Lucas back on a non-guaranteed deal, sources said.

Marc Stein is a senior NBA writer for ESPN.com.