The Daily Mirror reports that Mourinho has persuaded Inter president Massimo Moratti that in order to stand a chance of winning the Champions League next season Inter must invest heavily in their playing squad.
Although Inter are top of Serie A and closing in on a fourth consecutive Scudetto win they club have failed to transfer their recent domestic dominance to the Champions League.
Inter have failed to make it past the Round of 16 for the last three seasons, being eliminated this term by Manchester United, by Liverpool last season and by Valencia during the 2006-07 campaign.
In order to compete in the Champions League it is claimed that the Portuguese manager has earmarked six key players that he will attempt to lure to the San Siro this summer.
On the list are the Chelsea trio of striker Drogba, midfielder John Obi Mikel and defender Ricardo Carvalho, with Arsenal midfielder Abou Diaby, Tottenham Hotspur's Jermaine Jenas and Manchester United centre-half Vidic completing the list.
An Inter source told The Mirror: "Jose has made the case that the club cannot hope to fight against the English teams with the squad he was left with by Roberto Mancini. It seems Moratti will give him the chance to get the players he feels he needs."
Of Mourinho's targets only 30-year-old Carvalho and 31-year-old Drogba are likely to be relinquished by their current clubs, and even then it would take significant bids to tempt Chelsea to sell two of their important, albeit ageing, squad players.
It is understood that Spurs rejected an approach for Jenas from Inter during the January transfer window, and earlier this month Vidic's agent rubbished claims that his player would be leaving Old Trafford this summer.
The £25m-rated Serbian was linked with Inter's city rivals AC Milan, but his role in Manchester United's record 14 clean sheets this season make him a vital part of Sir Alex Ferguson's squad.
Similarly Diaby and Mikel are integral parts of the Arsenal and Chelsea's respective squads.