Both spoke on condition of anonymity because the deal has not been officially announced.
Only $400,000 of the second year of the contract is guaranteed.
The 6-foot-8 forward averaged 6.1 points and 2.6 rebounds in 64 games last season with Charlotte, his sixth team in six NBA seasons. Tolliver shot 42 percent from 3-point range, and the Suns see him as a ''stretch forward'' to help fill the void created by the departure of Channing Frye, who opted out of the final year of his contract and signed with Orlando.
Tolliver has a career average of 6.1 points.