The Tribune says basketball power broker "Worldwide" William Wesley is trying to sell teams on the pair as a package deal, according to league sources.
The frenzy over the impending free-agency of James began picking up even more steam after the Cavaliers were stunned by the Celtics in the second round.
Calipari was a fixture on the sidelines during playoff games in Chicago and Cleveland, leading to speculation he might be leaving Kentucky for the NBA. He adamantly denied those reports, but the paper says another source contacted the Bulls over the weekend.
According to the report, teams with cap room and coaching vacancies like the Nets and Clippers have also been approached about the James-Calipari package deal.