Inter coach Luciano Spalletti is fighting to save his job after being dumped out of the Europa League last night by Eintracht Frankfurt.
TMW says Inter president Steven Zhang favours Pochettino, though not for the €40m it would take to buy him out of his contract.
Mourinho, meanwhile, remains a free agent after his dismissal in December by Manchester United.
And he represents the smoothest appointment given his availability and popularity among the Inter tifosi.
Inter owners Suning are prepared to wait until the end of the season, but there's little prospect of Spalletti remaining in charge beyond June.