Corriere dello Sport says the Blues manager isn't convinced by the quality of his attack and has identified Icardi as a priority for the summer market.
Despite adding Olivier Giroud last month, Conte believes Icardi can boost their firepower next season.
Conte knows Icardi is unsettled at Inter and seeking a big club move. However, any chance of Chelsea landing the Argentine will be dependent on qualifying for the Champions League.
Significantly, Conte's recommendation is a clear indication he is planning to be in charge for next season.