According to The Telegraph, Spurs have inquired about Silva - who is currently on loan to Eintracht Frankfurt from AC Milan - with the north London club currently without another senior striker.
Meanwhile, the report adds that Tottenham have also been offered the chance to sign Christian Benteke from Crystal Palace, despite the 29-year-old currently in the midst of a barren spell with the Eagles.
“There is not a striker in the squad. We have only one, he is not fit,” Mourinho said about the current striker crisis in a press conference prior to the Liverpool game.
When asked why Son Heung-min was not a striker, the Portuguese boss added: “Because he isn’t. Danny Rose can play right wing, but he’s a left-back. It’s as simple as that. Davinson Sanchez can play striker, but he’s a central defender. A striker, what I call a No 9, a target man, Son is not.
“If it’s true that Inter are buying Giroud, they have Giroud, [Romelu] Lukaku, [Lautaro] Martinez, Alexis Sanchez – some teams they have four, and Inter is one example.”
Discussing his chances of signing a striker in the upcoming window, the 56-year-old said: “I think it’s very difficult. It’s the window of opportunity. Sometimes opportunities come for some reasons, but other times not.
“Liverpool needed a goalkeeper. Did they go to an old goalkeeper? Did they go to a young goalkeeper? Did they go to somebody to compete with Mignolet or Karius? No. They went to one of the three best goalkeepers in the world. Boom. But, again, we are a different club, we have to do it in a different way. We are not ever going to be the transfer window king.”
Silva has scored three goals during his 10 appearances at Eintracht Frankfurt - and with the 24-year-old sharing the same agent as the Spurs boss, the forward could be a likely contender for Harry Kane’s short-term replacement.
However, the offers surrounding Christian Benteke prove how severe the striker crisis is - with the Crystal Palace man failing to score a single goal this season.
Tottenham have also been linked to AC Milan striker Krzysztof Piatek, but his hefty price tag is likely to prevent his move to London.